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arXivのmath.CA (古典解析と常微分方程式) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)
終点と重みと測度と多項式構造 - 2026/11/11の論文11本
Today at 5:00 AM
arXiv math.CAの新着論文11本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-11/
A Counterexample to Polynomial Approximation for Monotone WeightsFailure of endpoint estimates for lacunary bilinear spherical maximal functions on Heisenberg groupsWeak $L^{2/3}$ bounds for the bilinear Hilbert transformOn the proof of Falconer distance conjectureImprovement to characterizations of BMO in terms of endpoint bounds for commutators and some counterexamplesA resolution of the Erd\H{o}s similarity problem in the largeMonotone Rearrangement for Flattening Weights $F_2$An elliptic deformation of continued fractionsTransforms between multivariate Laguerre and Meixner polynomials and their applications to gatewaysAverage and probabilistic linear widths of sequence spaces with a Gauss...作用素と関数とシャープな評価 - 2026/11/10の論文23本
Yesterday at 5:00 AM
arXiv math.CAの新着論文23本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-10/
An Alternative Proof of the SPR Synthesis Theorem for Polynomial Segments of Arbitrary OrderOn the multivariate hypergeometric function $F_K^{(L)}$, INonlocal bilinear differential operators induced by a third order hypermetric in $\mathbb{R}^n$Optimal orders for Hilbert-valued Littlewood--Paley functions of symmetric semigroupsSchauder exponential basis which is not RieszA Quarter-Power Bound for Chowla's Cosine ProblemFefferman-Stein Type Distribution Function Inequalities on Product SpacesUncertainty principle on $\mathbb{T}^m \times \mathbb{R}^n$The bilinear Hilbert transforms are not of restricted weak type $(1,1,1/2)$Random Configurations and Fourier DecouplingThe solution of...不等式と解析とネットワークの構造 - 2026/11/9の論文5本
Last Monday at 5:00 AM
arXiv math.CAの新着論文5本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-09/
Fractional Fefferman--Stein inequalities on infinite rooted $k$-ary treesWalsh Analysis in the Twenty-First Century: Convergence, Summability, Nonlinear Approximation, Universality, and Digital ApplicationsA sharp weighted $L^2$ Bernstein inequality for partial derivatives on the unit ballLiouville transforms for ordinary differential equations with distributional coefficientsOn the (non-)closedness of the set of ReLU networks幾何とフーリエ不等式と非可換組合せ論 - 2026/11/6の論文12本
Last Friday at 5:00 AM
arXiv math.CAの新着論文12本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-06/
Resolving Tusn\'ady's ProblemThe square function estimates for cones in arbitrary dimensions and elliptic quadricsGroup-free radial Kunze-Stein phenomenon on affine buildingsDarboux transformations of linear birth-death processesParameter-dependent inhomogeneous boundary-value problems in spaces of continuously differentiable functionsAn interpretation of the BMO boundedness of H\"ormander--Mikhlin multipliersFourier inequalities and sign uncertainty IICombinatorics of noncommutative harmonic oscillator determinantRecovering the Length of a Path from its SignatureUniqueness of Extremizers and Convergence of the Euler-Lagrange Iteration for the Critical Hardy-Littlewood-Sobolev InequalityFourier level inequalities on the discrete cube via complex hypercontractivity and Riesz transformsSpectral Regimes o...マルチンゲールと非局所演算子と固有値 - 2026/11/5の論文7本
Last Thursday at 5:00 AM
arXiv math.CAの新着論文7本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-05/
Homogeneous Polynomial Carleson Operators Along the ParaboloidMacroscopic return-time spectra and Hausdorff dimension transitionsAn equivalence principle for martingalesParabolic Extrapolation of Compactness with Applications to Characterizations of the Parabolic CMO Space via Parabolic Fractional CommutatorsGeneralized principal eigenvalues for nonlocal operators with driftAn Exact Poisson Mixture Representation of Siler Remaining Life ExpectancyA property of boundary extensions of atomic singular inner functions作用素と空間と幾何学的構造 - 2026/11/4の論文13本
11/04/2026
arXiv math.CAの新着論文13本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-04/
One-Sided Hardy--Littlewood Maximal Operators on Variable Lebesgue Spaces Beyond Log-H\"older ContinuityBounds for Orthogonal Expansion Coefficients via Weighted PrimitivesPoisson area and non-tangential maximal functions on manifolds with ends and applicationsA sharp Mittag-Leffler bound for series with separated exponentsBilinear Kor\'anyi spherical maximal function on the Heisenberg groupSampling Density for Multi-window STFT Phase RetrievalArithmetic product theorems on self-similar sets of uniqueness and homogeneous Moran setsStein's generalized spherical maximal operatorLimit cycles of singular algebraic foliations on the real projective planeSharp decay of the spherical averages of the Fourier transform of open setsAn o...特殊関数と解析的構造 - 2026/11/3の論文40本
11/03/2026
arXiv math.CAの新着論文40本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-03/
Ad-conditions for higher-order recurrences: Dunkl and matrix-valued settingsSecond order Heisenberg Uncertainty Principle for solenoidal fields: sharp constants, optimizers and sharp stabilityOn the properties of the potential and the spherical harmonic expansions for general planetsBilateral Christoffel-Geronimus-Uvarov formulas for mixed-type orthogonality on algebraic supportsConjectures of Bernstein and Erd\H{o}s for weighted Lagrange interpolation with Hermite weightThe Two-Point Inequality for $p>q$Some Characterisations of the Strichartz Fourier Transform on the Heisenberg GroupBochner-Riesz means for Laguerre expansionsThe sharp Stein-Tomas inequality on the circlePerfectness of partial Christoffel transforms of Nikishin sys...不等式と点配置の鋭い解析 - 2026/11/2の論文14本
11/02/2026
arXiv math.CAの新着論文14本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-02/
Sharp convex body sparse bounds and quantitative matrix weighted estimates for Hilbert transforms along curvesSimple proofs of a Gagliardo--Nirenberg inequality and their extensionsDilation systems with two generators and the optimal Riesz bounds of a basis of ReLU networksProduct Pitt inequalities and signed Boas equivalences for general monotone functionsUllman--Stahl--Totik regularity for conjugacy measuresElliptic Fekete points: separation, Riesz energies, and polynomial conditioningAsymmetric $L^p$-improving and maximal estimates for the triangle averaging operatorParabolic Reifenberg Parametrizations and Corona Decompositions, with Applications to Singular IntegralsAdversarial Wronskians: A proof of the Kung--Traub conjectureSharp Non...作用素と幾何と特殊関数の研究 - 2026/10/30の論文36本
10/30/2026
arXiv math.CAの新着論文36本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-30/
Diffraction of rotated measuresExponential decay of threshold correlations for symmetric periodic functionsEndpoint estimates for spherical maximal operators acting on radial functions in hyperbolic spacesOn $q$-middle convolution and generalized $q$-hypergeometric equationArithmetic classification of the Dirichlet eigenvalues for a one-dimensional nonlocal $p$-Laplacian problemMatrix orthogonal polynomials related to diffference operators for $L$-orthogonal polynomialsApproximating the poles of a Painlev\'e V transcendent for the Fredholm determinant of the sine kernelSparse domination for $q$-variation associated with functional calculusUncertainty principles as forcing mechanismsAn involution for recurrences of Tricomi and other speci...フーリエ解析と関数空間と幾何学的構造 - 2026/10/28の論文14本
10/28/2026
arXiv math.CAの新着論文14本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-28/
Two-sided logarithmic estimates of the Lebesgue constants with respect to Vilenkin systemsA Separated Bump Theorem in $L^2$Spherical Averages on nilpotent GroupsSharp global \(L^2\) estimates for oscillatory integral operators with quasi-homogeneous phasesSharp helical maximal estimates in all dimensionsNonlinear uncertainty principleOn Borodin-Gorin presentation of Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric functionExact $L^2$ convergence through the wavelet and tent space characterizations of $h^p(\mathbb{R}^n)$, $0作用素と空間の構造と幾何学的解析 - 2026/10/27の論文19本
10/27/2026
arXiv math.CAの新着論文19本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-27/
Extremal cosine sign correlationsOn the positive Lebesgue measure of (n,k,t)-setsThe endpoints $p_-=1$ and $p_+=\infty$ for the maximal operator on $L^{p(\cdot)}$ over spaces of homogeneous typeSharp Quantitative Weighted Estimates for Lifted Maximal Operators with ApplicationsOn transformations of Kamp\'e de F\'eriet functions with integral parameter differencesThe $C_p$ conjecture of MuckenhouptIndependent powers and bounded Fourier partial sums in $L^1$Sharp $L^p$--$L^q$ bounds for the strong circular maximal operatorCarleson duality and endpoint structure of Euclidean flag Triebel--Lizorkin space...作用素と重みと幾何と測度 - 2026/10/26の論文16本
10/26/2026
arXiv math.CAの新着論文16本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-26/
Pointwise Riesz potential bounds for rough singular integralsSobolev Orthogonal Polynomials on the unit circle with varying inner productPinned configuration sets and slicing theorems via Fourier integral operatorsCoefficient duality and interpolation of Euclidean flag Besov spacesWeak-$L^\infty$ and BMO with Hausdorff ContentRiesz Transform Bounds Imply Parabolic Uniform Rectifiability of GraphsDimension-free bounds for maximal operators associated to log kernel and applicationsProperties and applications of Muckenhoupt $A_1$ growth weightsWeighted decoupling inequalities via fractal bilinear Kakeya estimatesRational $S$-functions for second order ODEs with non-Liouvillian first integralsSharp Projection Bounds for Intermediate Dim...作用素と重みとフーリエと幾何学 - 2026/10/23の論文17本
10/23/2026
arXiv math.CAの新着論文17本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-23/
Covering lemmas associated to maximal operators of weak typeExplicit Measurable Counterexamples to Finite-Difference EquationsWeighted boundedness of maximal operator associated with invertible linear transformations on variable Lebesgue spacesA general quantified Wiener-Ikehara theoremSharp Variational estimates for Schr\"{o}dinger equation in $\mathbb{R}^{2}$Endpoint weighted Fourier estimate with vanishing spherical traceIntegral representations of high-order derivatives of Bessel functions with respect to the orderStability of Fourier Restriction for a Class of Finite Type Surfaces in $\mathbb R^3$A sharpened $L^8_t L^4_x$-Strichartz estimate for even initial dataModuli spaces of logarithm...集合と射影と解析的推定 - 2026/10/22の論文8本
10/22/2026
arXiv math.CAの新着論文8本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-22/
Same Gaps, Different Sets: A Survey on Complimentary sets and their DimensionsStability for the adjoint Finner inequality and improved lower bounds on the $k$-plane transform$q$-middle Laplace transform and its applicationsDuality in Harmonic Analysis and beyondA bounded Borel set in the plane none of whose orthogonal projections is BorelOn the gradient conjecture at infinity: Finite spherical length for gradient trajectories of definable potentialsSharp spherical $L^p\to L^4$ extension estimates over finite fields in odd dimensionsHigher rank spectral projector estimates and a Stein--Tomas restriction theorem幾何的構造と解析的推定の統合 - 2026/10/21の論文18本
10/21/2026
arXiv math.CAの新着論文18本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-21/
Endpoint maximal estimates for the half-wave propagatorDiagonal and branchwise criteria for universal Fourier seriesSharp estimates for imaginary powers of discrete LaplaciansA self-dual Dunkl wavelet frame and Besov--Triebel--Lizorkin spacesQuicksilver Asymptotics and Pole Arrays for $q$-Painlev\'e IIGlobal Mizohata-Takeuchi for Indicator Weights of Bounded Complexity in $\mathbb{R}^2$Sharp boundedness criteria for nonnegative kernels on regular curves in the Heisenberg groupThe strong type endpoint estimate for the local spherical maximal functionAlmgren minimality of products of simplex-skeleton conesThe Fourier restriction problem for biradial functionsRemarks on space curve $L^2$ Fourier restrictionOne-Rin...作用素と多項式と関数空間と評価 - 2026/10/20の論文16本
10/20/2026
arXiv math.CAの新着論文16本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-20/
Fuglede's conjecture holds in $\mathbb{F}_2^7$Time-and-band limiting for symmetric classical Dunkl orthogonal polynomialsend point estimates for the bilinear circular averaging operatorLyapunov-Krasovsky Functionals and the Existence of Unbounded Solutions of Functional-Differential Equations of Retarded TypeAsymptotics of Weighted Bergman Polynomials under Finite RegularityA curved three-dimensional simplex Hilbert transformOn the frequency function of periodic quasianalytic and non-quasianalytic functionsAdvancing the Theory of Sheffer Sequences via Dual Pad\'e Rational ApproximantsThe $(n-2)$-linear restriction estimate in $\mathbb R^n$Diamond Maximal Operators: Classification, Moduli, and Oscillation EnvelopesBoundedness of nonregular bilinear pseudodifferential...不等式と作用素と測度 - 2026/10/19の論文18本
10/19/2026
arXiv math.CAの新着論文18本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-19/
Cross-ratios and first order ordinary differential equationsSemialgebraic ${C^m}$ solutions to a univariate system of linear inequalities with Nash forcingNearly Sharp Uniform Projection Bounds and Superlinear Vitushkin Inequalities for Deterministic Self-Similar SetsInteger Parameter Shifts in One-Variable Restrictions of Lauricella's $F_C$Stieltjes-generated moment functionals and orthogonality: a transfer principle and an image theoremEndpoint Lorentz Inequality for Riesz Potentials with Respect to General MeasuresQuantitative maximal $\mathrm{L}^p$-regularity for generators of real contraction semigroupsDisproof of Wright's Problems 14 and 15 on lacunary maximal functionsOrthonormal maximal estimates for fractional Schr\"odinger operators...制限推定と幾何学的な問題 - 2026/10/16の論文12本
10/16/2026
arXiv math.CAの新着論文12本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-16/
Weighted Fourier capacities and Frostman restriction estimatesThe $(n-1)$-linear restriction estimate in $\mathbb{R}^n$ with degenerate curvatureFourier decay and endpoint estimates for lacunary maximal operatorsFunctions of bounded variation are not dense in the Strong BD NormB\'ezout bounds and rational points on quasianalytic graphsVisible parts and projections of the affine fractal percolationA geometry-independent endpoint estimate for the Littlewood--Paley $g$-function generated by the Poisson semigroupTauberian rates and the Baire property of idealsA quantitative form of the planar Falconer distance theoremSeven Limit Cycles in a Periodically Forced Three-Zone Equat...作用素と測度と零点 - 2026/10/15の論文15本
10/15/2026
arXiv math.CAの新着論文15本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-15/
A proof of Karp's conjecture on the zeros of Toeplitz determinants of rising factorial seriesThe zeros of point evaluation extremals in Paley-Wiener spacesSparse bounds for rough non-translation-invariant Calder\'{o}n-Zygmund operatorsSharp radial--angular mixed norm Fourier extension and global stability on spheresEndpoint regularity of Radon transforms associated with real analytic phases in the planeElementary ratio and zero limits for varying recurrencesOld structures, a vanishing formulaCharacterization of $C^{1,\alpha}$-domains in terms of Carleson-type $\varepsilon$-coefficientsGaussian rigidity and width of measuresPacking intermediate dimensions of measures and applicationsA sharp discrete Sobol...重み付き作用素と多様体上の解析 - 2026/10/14の論文36本
10/14/2026
arXiv math.CAの新着論文36本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-14/
Hypergeometric solutions to coupled Klein-Gordon equations in cosmology with small-field excursionsOn the variation and asymptotics of maximal functionsEndpoint power weight inequalities for spherical maximal functionsWeighted Norm Inequalities for Maximal Multi-sublinear Rough Singular IntegralsCone restriction via direction-restricted two-ends Furstenberg estimatesCoding multiplicity in self-similar sets on the lineFiniteness of Fuchsian equations with unitarizable monodromy on compact Riemann surfacesAsymptotic analysis of the confluent Dotsenko-Fateev systemThe manufacture of examples II: the "para-classical" orthogonal polynomialsSchatten--Lorentz properties of commutators with matrix weightsReverse H\"older Class and Two-Parameter Good-$\lambda$ Inequality over Hausdorff ContentTranslational se...Kakeyaとフーステンベルクと多項式 - 2026/10/12の論文14本
10/12/2026
arXiv math.CAの新着論文14本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-12/
New bound on the Hausdorff dimension of Kakeya sets in $\mathbb{R}^4$A higher-dimensional Schr\"odinger maximal estimate along families of bi-Lipschitz curvesThe square function estimate for the cone in four dimensionsLimit cycles of slow-fast quintic Lienard systemsSharp power-weight estimates for the fractional spherical maximal operatorHsiang cubics as spherical Chebyshev polynomials: equioscillation and idempotent quadratureSpread-out Furstenberg sets I: the sticky caseSpread-out Furstenberg sets II: general configurations and fractal restricted projectionsThe second type of power mean bounds for the hypergeometric meanCharacterizing higher-dimensional H\"older domains via spherical geometric functionsVolum...特異積分とフラクタル構造の解析 - 2026/10/9の論文17本
10/09/2026
arXiv math.CAの新着論文17本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-09/
The Kakeya problem for codimension-two planes in $\mathbb{R}^n$Multilinear rough singular integral operators may not be of the weak type at the endpointRevisiting Positive Exponent power weighted Stein-Weiss inequalities in $L^1$Fourier Restriction Beyond Dimension Data: A Multiscale Moment CriterionOn a control problem for two orthogonal nets of curves in the planeBox dimension profiles and intermediate dimensionsFourier quasicrystals with positive integer masses are sections of Lee-Yang cyclesThe Erd\H{o}s-Falconer distance problem in the integer latticeEquidistribution of number theoretic point sets in the torus and the sphere in Wassers...特殊関数と幾何構造と解析的界 - 2026/10/8の論文13本
10/08/2026
arXiv math.CAの新着論文13本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-08/
Positive-measure intersections of Bedford-McMullen carpets under similitudesSparse domination modulo polynomialsOn an infinitely divisible distribution involving modified Bessel functionsA method for generating multivariate multiple orthogonal polynomialsBounds on the maximum number of limit cycles of piecewise linear Lienard systems I. The continuous caseOn $L^p$ norms of maximal operatorsGalois descents of certain multiple polylogarithmsA sharp spectral multiplier theorem on the Engel groupA family of Hurwitz polynomial vector fields in $\mathbb{R}^3$ having non-constant periodic orbitsThe full shadow of a polynomial I. The limiting core and the transient setSharp Hilbert transform n...鋭い境界と特殊関数と幾何的構造 - 2026/10/7の論文17本
10/07/2026
arXiv math.CAの新着論文17本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-07/
Some New Sharp Boundedness Result Concerning Linear functionals on Banach spacesEquilibria of Inverse-Square Repulsion on the Line Are Arithmetic ProgressionsFull-Range $\Gamma$-Convergence of Weak-Type Nonlocal Functionals$\mathcal C^m$ solutions of semialgebraic equations on curvesA Proof of McLeod's 1959 Conjecture on Complete Homogeneous Symmetric RatiosA Mizohata--Takeuchi-type estimate for the hyperbolic paraboloidSharp two-sided bounds for the product of modified Bessel functions and for its logarithmic derivativeCounterexamples to Hardy--Littlewood maximal inequalities on solvable groupsModuli of smoothness and growth of the Laguerre transform: two-sided estimatesAlmost sparse operators and Bergman projectors on treesPositive Bi...測度と作用素と不等式 - 2026/10/6の論文30本
10/06/2026
arXiv math.CAの新着論文30本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-06/
A note on the asymmetric discretised ring theoremProjection theorems for macroscopic intermediate dimensionsMultiple solutions of singular periodic problemsOn the mapping properties of a radially power-weighted k-plane transformOn pointwise convergence of singular integrals of Christ-Journ\'e typeLower bounds for parameter-dependent oscillatory integrals and Fourier frames on hypersurfacesSparse domination and the bi-parameter Hilbert transformThe strong $\ell^r$ spherical maximal functionLebesgue measure of distance sets and $L^2$ ball inflationDunkl--BMO functions representable in terms of generalized balayage of Carleson measures and an applicationNull-additive sets and packing measuresAddition formula for two families of orthogonal polynom...曲線と積分と有理点とコンパクト性 - 2026/10/5の論文8本
10/05/2026
arXiv math.CAの新着論文8本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-05/
Maximal directional singular integralsSpace curve Fourier restriction for orthonormal functionsWeak type $(1,1)$ bounds for oscillatory singular integrals with rough kernelsSharp rational points counting near nondegenerate curves in $\mathbb{R}^n$Counterexamples for Rational Points Near CurvesInput-Endpoint Compactness and Essential Norms for Weighted Bilinear Hardy OperatorsCompactness and Essential Distances of Weighted Bilinear Hardy-Steklov OperatorsDifferential inclusions and the chattering phenomenon非線形解析と幾何的距離の探求 - 2026/10/2の論文9本
10/02/2026
arXiv math.CAの新着論文9本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-02/
Stability of concentration in the Paley-Wiener spaceStrip Decoupling Inequalities for the Paraboloid in $\mathbb{R}^3$Quantitative possibilities for Baxter's theorem in nonlinear Fourier analysisEndpoint Mapping Properties of Wave Operators for Schr\"odinger Operators in Dimensions $n\ge3$Vanishing orders of Dirichlet solutions to the Schr\"odinger equation in dimensions three and higherQuadratic distances in even dimensions over prime fieldsDecoupling and Tail Laws for Small-Order Metric-Valued Nonlocal Energies: A Structural View of the Maz'ya--Shaposhnikova FormulaAn abstract averaging method for quasilinear equationsAn averaging method for periodic solutions of quasilinear equations in関数と集合と代数的な構造の解析 - 2026/10/1の論文20本
10/01/2026
arXiv math.CAの新着論文20本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-01/
Hyperplane Incidences and Distance Sets in Higher DimensionsTur\'an type inequalities for oscillatory special functionsSharp volume bounds for BRK-type sets of surfaces of revolutionThe Minkowski $?(x)$ function and Salem's problem. IIOn planar Nikodym-type setsA Note on Capacity Muckenhoupt Weights with respect to the Hausdorff ContentNatural reparameterization and continuity of the solution map for polynomialsA Kac-Moody root system and linear ordinary differential equationsOn Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimateThe Pearl ensemble and the logarithmic energy on the SphereMore on dominated and microscopic setsThe Work of Hong WangW...関数と作用素と幾何学的解析 - 2026/9/30の論文15本
09/30/2026
arXiv math.CAの新着論文15本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-30/
Subadditive bijections on the positive realsA note on Rainwater's TheoremPositive Cubature Compression and Optimal Hyperinterpolation Stability on a Conic SurfaceAssouad and Lower Dimensions of Graphs of Weierstrass-Type Functions with Rapidly Growing FrequenciesCompactness and Essential Norms of Weighted Bilinear Hardy Operators on General IntervalsFlag multiresolutions: T1, paraproducts and commutatorsCritical Points of Line Restrictions of Signed Point-Charge PotentialsSharp Thresholds for Distance Patterns in Random Subsets of $\mathbb Z^d$Absolutely Continuous Convolutions and Projections of Fractal MeasuresBeyond Constant Truncations: The Bounded Sobolev Approximation GapPolynomial Counterexamples to Shanks' Conjecture in Dirichlet-Type S...不等式と作用素と関数空間と積分 - 2026/9/29の論文50本
09/29/2026
arXiv math.CAの新着論文50本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-29/
Hahn-Type Orthogonality for the Resolvent Delta Operator $\mathscr L=D(I-D)^{-1}$A component-wise inequality for permutation matchesCharacterization of the boundedness of the segment multiplier on weighted Lebesgue spacesSharp Bernstein--Nikolskii inequalities for polynomials and entire functions of exponential typeSharp lower bounds for the periodic maximal Schr\"odinger operator in higher dimensionsRigidity of reflectionless Riesz measures and Sobolev estimates for Riesz transforms on Lipschitz graphsGabor frames with no Gabor dualsEndpoint Absolute Monotonicity for the Complete Elliptic Integral of the First KindStochastic maximal $L^p$-regularity for non-autonomous evolution equations...特異積分と不等式と直交多項式 - 2026/9/28の論文14本
09/28/2026
arXiv math.CAの新着論文14本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-28/
Almost-orthogonal Strichartz estimates and radial improvementsDiscrete orthogonal polynomials related to Hahn difference operatorOn convergence of formal Dulac series, satisfying an algebraic $q$-difference equationFormalizing Carleson's Theorem in LeanThe Wiener norm of lifts of dense Sidon setsSharp weighted weak-type bounds for commutators of singular integralsPrescribed projections for a general class of maps and efficient covering by variable plane curvesPhase retrieval for Schr\"odinger evolutionsExtremals and stability for the Folland-Stein inequality on H-type groupsUpper and lower fluctuations in Shallit's law of leap years in Pierce expansionsAn elementary solution to the polarizatio...不等式と測度と作用素 - 2026/9/25の論文14本
09/25/2026
arXiv math.CAの新着論文14本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-25/
Endpoint Riesz transforms on normalized graphsOn the Alzer-Berg problem: an optimal Bernstein boundary and a uniqueness conjectureSharp power-mean comparisons for Gauss hypergeometric functionsSpectral eigenvalue problem of Cantor measures and Artin's primitive root conjectureThe ultraspherical background of the Jacobi phase expansion, in closed formCritical Hausdorff Measure for Higher-Dimensional Bedford-McMullen SubshiftsForm domination and tent space estimates for operators on the half-spaceSharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distributionMethod I revisited: extension, continuity, and applicationsHausdorff-Young inequalities for $\mathrm{SU}(1,1)$ Fourier product...重み付き測度とスペクトルと球面調和関数 - 2026/9/24の論文19本
09/24/2026
arXiv math.CAの新着論文19本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-24/
On $C^k$ convex variants of Stein's Weighted $L^2$ Conjecture for Bochner-Riesz meansSpectrality of Weighted Measures on Two Line SegmentsSpherical harmonics, operators of multiplication by coordinates, and infinitesimal conformal transformationsSparse bounds and joint oscillation for bilinear rough commutatorsOn the Central Maximal Function in $\mathbb{R}^n$A set of points with optimal $L^2$ spherical cap discrepancyThe weak-type $(1,1)$ estimates for wave equation on $ax+b$ groupsA minimal HRT counterexample at the sharp Gelfand--Shilov thresholdDerivatives of Theta Functions and a Problem of Lyubarskii and NesThe critical mixed-arithmetic four-point HRT theore...直交多項式とスペクトル合成と連分数 - 2026/9/23の論文13本
09/23/2026
arXiv math.CAの新着論文13本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-23/
A reciprocal-Gamma Mehler--Heine limit for Krawtchouk--Sobolev type orthogonal polynomials with an exterior mass pointSpectral synthesis with the complexity parameter in $\mathbb{Z}_N^d$Dynamical Sampling in Graph Paley--Wiener SpacesMatrix Continued Fractions from Bidiagonal FactorizationsHypergeometric Mixed-Type Multiple Orthogonal PolynomialsDunkl theory, convolution algebras, and related Markov processesVoltage and current density in a rectangle with point in- and ejection via Green's functions and $q$-analysisExponential improvements in Rado's covering problemThe dHYM equation on crepant resolutions of Calabi-Yau conesCompact sets in Banach lattices over spaces of homogeneous typeBasic Reproduction Ratios for Almo...フーリエ次元とリース変換とカケヤ集合 - 2026/9/22の論文22本
09/22/2026
arXiv math.CAの新着論文22本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-22/
Rectifiability of the straight visible boundary and the limits of segment-based Hardy criteriaP-adic Curved Kakeya Sets, Projection Theorem and Covering NumbersA new type of deterministic Salem sets and its spectrality$P$-adic $s$-energy and Fourier dimensionOn higher-order differential equations for Laguerre-Hahn orthogonal polynomialsOn the Rajchman property of homogeneous self-affine measuresThe Coulhon--Duong conjecture for the Riesz transform on complete Riemannian manifoldsEndpoint estimates for commutators of singular integral operators associated with admissible functionsEndpoint Estimates for Commutators of the Dirichlet Riesz Transform on the Half-SpaceThe Zygmund conjecture and Rey's exponential integ...正則性と極限とリース変換と安定性 - 2026/9/21の論文12本
09/21/2026
arXiv math.CAの新着論文12本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-21/
Super-g-H\"older Regularity in Stieltjes Dynamics: Atomic Structure, Exact Extremal Values, and Recovery of the Stieltjes ClockSome freezing limits for Bessel functions and Bessel processes with drift of type $B_N$Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $SL(2,\mathbb{R})$ Conformal BlockA boundedness result for degenerate parabolic Riesz transforms with rough coefficientsAn Askey Scheme for Jacobi Systems of Mixed Type: Laguerre Limits of the First and Second Kinds and Hermite LimitsKakeya and Furstenberg problems for sticky sets of tubesAn $m^{2.943}$ Boh...関数と測度と不等式と解析 - 2026/9/18の論文12本
09/18/2026
arXiv math.CAの新着論文12本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-18/
Complete Bernstein functions and scaled ultraspherical zerosRigorous analysis of giant magnetic vortex stringsProduct-profile anti-concentration for block-structured multi-affine polynomialsThe divergence set for the wave equation in higher dimensions$L^p$ Decay Estimates for Circular Means of Fractal Measures in $\mathbb{R}^2$Sharp mixed $A_p$-$A_\infty$ estimates for sparse operators on filtered and nonhomogeneous measure spacesUniversal completeness of exponentialsSumsets of Ahlfors--David regular setsHausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systemsA constructive approach to range characterization of spherical mean transform in odd dimensionsLocal Matrix Muckenhoupt Weights and Quantit...関数と不等式と解析的推定 - 2026/9/17の論文14本
09/17/2026
arXiv math.CAの新着論文14本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-17/
Connection Formulae for a Generalised Ramanujan Entire FunctionThere are no Riesz bases of exponentials in balls and trianglesOn Kolmogorov's rearrangement problem and Garsia's conjectureCurved commutators in higher dimensionsMultilinear Mikhlin Multipliers with Degenerate SingularitiesRange Failure, Resolvent Growth, and Resonance in Partially Dissipative SystemsEndpoint eigenfunction restriction estimates in codimension twoSharp Strichartz estimates on the one-dimensional torusZeros of the Spectrogram of Colored Noise$p$-roughness of paths and invariance of $p$-th variationA Solution of Problem 2.5 by Brezis on the Planar Ginzburg--Landau EquationOn Two Questions by Brezis et al Concerning the Critical Differen...関数と有界性とスペクトルと特異解 - 2026/9/16の論文11本
09/16/2026
arXiv math.CAの新着論文11本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-16/
Completing the Meijer--Barnes $K$-function: the excluded case $N多項式と最大作用素と関数空間 - 2026/9/15の論文22本
09/15/2026
arXiv math.CAの新着論文22本をご紹介します。
番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-15/
A Lower Bound on the BlobPolynomial corners in finite fields beyond the distinct-degree caseFailure of the linear $A_2$ bound for the strong maximal operatorSpherical harmonics with maximal Lp norm growthNon-radial Dunkl multipliers at the $L^2$-Sobolev thresholdOn the weighted weak-type constant for the dyadic square functionThe `1/9'-problem for the $\varphi$-functionsOn the matrix $A_p$ conjectureErd\H{o}s's Robust Polynomial Interpolation Problem: the Optimal Exponential ScaleCahn-Hilliard equation associated with hypergraphInvariant sets of the double Hilbert transformThe lower envelope of ultraspherical polynomialsSpherical maximal operators on rank one Riemannian symmetric space...