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arXiv math.CAの新着論文6本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-28/ Microstructure evolution as a gameCapacitary-Distance Hardy InequalityOptimal fractional discrete Hardy inequalities on the half-lineA complex-analytic proof of square-restricted stable phase retrieval in Fock spaceA blueprint for the formalization of norm-variation of multiple ergodic averages for commuting transformationsArbitrarily Fast Quantum Dispersion in Long-Range Crystals
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/2026-08-27/ A sharpened Carlson's integral inequalityExact-Support Counterexamples to Euclidean-to-Spherical Transfer of Positive Definiteness in Even DimensionsBilinear Bochner--Riesz Means on the Complex SphereOptimal differentiability of isotropic positive definite functions on even-dimensional spheresWeighted Estimation by Discrete-time Sparse Domination on Martingale Spaces
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/2026-08-26/ A Fefferman--Stein inequality for the Dunkl Poisson semigroup and its chamber-lifted formulationDirectional maximal operators in the planeBorell--Brascamp--Lieb inequality with finitely many output functionsFunctions with comparable integrals on all k-planesOptimal Hardy Inequalities for Random Walks on $\mathbb{Z}^2$On AAA approximants on an interval to Nevanlinna-Pick functions and P\'olya Frequency SeriesEvolution families and variation of constants formula for abstract functional differe
arXiv math.CAの新着論文24本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-25/ Positive measure for restricted projections along smooth non-degenerate curvesEndpoint orthonormal Strichartz estimatesGaussian beam Radon transform for tensor fields in $\mathbb{R}^2$$L^p$-Estimates for maximal averages along mixed homogeneous hypersurfaces in $\mathbb{R}^{3}$Isotropic Positive Definite Functions on Spheres: Even-Dimensional Gneiting's ProblemThe H\"ormander--Bernhardsson function in higher dimensionsRotating needles in space: the road to the Kakeya conjecture, and why it m
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/2026-08-24/ Strong asymptotics for Jacobi-Pi\~neiro orthogonal polynomialsTwo-weight commutators for the Bessel Riesz transform with Andersen--Kerman weightsAnisotropic Bourgain--Brezis inequalitiesOn the $p$-variation of Riemann's ''nondifferentiable'' functionSpace-filling surfaces: sharp H\"older continuous parameterizations from squares to cubes
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/2026-08-21/ Product formulas for multivariate and matrix-variate confluent hypergeometric functionsFactorization and Atomic Decomposition in Hardy-Orlicz Spaces on the Upper Half-Plane with Applications to Hankel OperatorsBoundary-Weighted Fourier Inequalities for Convex DomainsGeneralized inverses of strictly monotone transformationsUniform weak type $(1,1)$ bounds for Riesz transforms on stratified Lie groups
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/2026-08-20/ $\Gamma$-Convergence of Weak-Type Nonlocal Functionals on Bounded DomainsBuffered Shading-Compatible Multiplicity Factoring in Four DimensionsCellular Maximal-Density Factoring and a Repair of the Streamlined Three-Dimensional Kakeya ReductionComplexity-sensitive additive energy and off-diagonal Young inequalities on bounded-degree algebraic varietiesNorm bounds on Fourier series with polynomial spectra and constrained coefficientsThe Unfair 0-1 Polynomial Problem and High-Degree TrinomialsM
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/2026-08-19/ Sufficient Conditions for Strong Natural Boundaries involving Lacunary SequencesHigh-dimensional discrete 1-symmetric convex bodies and dimension-free estimates for maximal functionsA four-way Szeg\H{o} theorem for $L^p$ extremal polynomials on subsets of $\mathbb R$Properties and applications of Lorentz--Muckenhoupt classesMixed-norm Brasamp-Lieb inequalitiesA dimension-free weak-type $(1,1)$ bound for the vector Riesz transform on $\mathbb{R}^n$Almost sure pointwise convergence for the 2D
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/2026-08-18/ Wavelet and tent space characterizations of $h^p(\mathbb{R}^n)$, $0 Arithmetic-progression gap sets in Cantor setsFractal Uncertainty and Quantitative Uniqueness for the Fourier Bessel TransformWhittaker functions with one or both parameters large: simplified uniform asymptotic expansions involving Bessel and Airy functionsGeneralization for Poincar\'e--Sobolev inequalities with local weightsTur\'an problem on the union of three intervals of equal lengthNew Fej\'er-type Inequalities Related
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/2026-08-17/ Transversal H\"older Criteria and Dini--Zygmund Endpoint Regularity for Hyperbolic Harmonic MappingsCesaro Means along Polynomial Subsequences of Fourier Partial Sums at Lebesgue PointsSharp refined-direction Kakeya estimates in finite Heisenberg groupsExtremal functions and zero sets for the Dirichlet spaceWoven weighted exponentialsA characterization of uniqueness of purely atomic finite measures with central Cantor set rangeNear diagonal additive energy bound for points on algebraic surfac
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/2026-08-14/ Lommel polynomials and explicitly solvable prediction problems on the unit circleConformal Dimension of Measures and Quasisymmetric Dimension ReductionParabolic BMO, Parabolic Muckenhoupt Classes, and Parabolic Reverse H\"older Classes with Time LagMixed Weak type inequalities for pairs of weights related to the Hardy-Littlewood maximal funcion, Calder\'on-Zygmund operators and their commutatorsChebyshev polynomials on a Jordan arcFourier-invariant functions with dense zero setsA conditional
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/2026-08-13/ Kakeya sets and dimension compression in compact Lie groupsOn Constrained Riesz Minimum Energy ProblemsOn the optimal constant in the Montgomery-Vaughan weighted Hilbert inequalityNear optimal three-fold additive energy bound for points on convex curvesThe 196560 auxiliary-function conjecture for the Leech latticeIsospectral majorization and isoperimetric inequalities for coherent states on the Bloch sphereThe Corona Problem for Slice Holomorphic Functions via the Matrix Corona ProblemGrothen
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/2026-08-12/ Almost everywhere convergence of subsequences of Walsh-N\"orlund meansClassification of Fourier summation formulas on a horizontal stripApplications of Nonlinear Projections to Rectifiable 1-setsFinite Good Witnesses for Generalized Curve Projections at the Rectifiable EndpointRemarks on a proof of the absolute continuity of the representing measures for Dunkl's intertwining operatorSharp constants in the one-sided John-Nirenberg inequality for functions of bounded lower oscillationMatrix Sze
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/2026-08-11/ An intrinsically subcritical four-point counterexampleRandom Bernoulli measures in a random environmentA Study on Kakeya Needle Problem for $(n-1)$-Rectifiable SetAffine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's ConjecturesA Riemann-Hilbert representation for Sobolev orthogonal polynomialsGeneralized Freud weight, discrete Painlev\'{e} I hierarchy and full asymptotics of Hankel determinantsSharp $L^2$ Estimates for $(2+1)$-dimensional oscillatory integral operators with homo
arXiv math.CAの新着論文3本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-10/ Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target SpacesNineteen vectors and a certificate of their phase-retrieval injectivity in $\mathbb{C}^6$Maximal estimates for perturbations of the Schr\"odinger operator on $\mathbb{T}^d$
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/2026-08-07/ Asymptotics of Polynomials Orthogonal on an Interval with Varying WeightsDegree-uniform regions for Gautschi's conjecture on subrange Jacobi polynomialsDecay rates for (2+1)-dimensional oscillatory integral operators with homogeneous polynomial phasesOn number of cyclic $n$-roots and disjointness of Fourier supportsEffective Lagrangian regularity and the uniqueness threshold for random H\"older velocity fields
arXiv math.CAの新着論文6本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-06/ Bernstein-type bases on $q$-quadratic lattices and Askey--Wilson\slash $q$-Racah connection coefficientsPreservation of Positive-Definiteness by Bernstein Operators on the CircleTwo absolutely bounded determinantal ratiosA Counterexample to the Liu--Lou--Zhu $\mathcal Q_p$--Carleson Embedding ConjectureGabor Frames of Totally Positive Functions: A Complete CharacterizationLinear dependence of time-frequency shifts of a Schwartz function
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/2026-08-05/ Laplace Asymptotics near Stratified Minimum SetsAlgebraic defect and positive mother body measuresOn the endpoint estimate for discrete spherical average over sparse sequencesOptimized bounds for the product and the ratios of modified Bessel functionsMechanical Implications of the Teleportation of Rigid Extended Bodies from the Perspective of Classical Mechanics and MathematicsA solution to Crouzeix's conjectureStrichartz estimates for quasi-periodic functions on long time intervals: An arith
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/2026-08-04/ Minimizers of one-dimensional regularization problems with linear and nonlinear total variationOn an Erd\"os Problem about the Maximum Modulus of Littlewood Polynomials on the Unit CirclBessel-Like Multiple Orthogonal Polynomials of Mixed TypePositive Bidiagonal Factorizations for Banded Markov ProcessesEvaluation of terminating and non-terminating sums containing the digamma functionDual boundedness of the maximal operator on concave Banach function spacesSharp weighted norm estimates for t
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/2026-08-03/ From 12 to 6: Sharpening the Three-Charge Bound in Maxwell's ProblemFavard length and generalized projectionsNonconcentration of eigenfunctions in Microlocal Kakeya-Nikodym norms: a phase space approachPerturbed Dyadic Cubes and Quantitative Estimates for Schr\"odinger Operators with Potentials in $RH^{n/2}$Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications
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/2026-07-31/ Airy Turning-Point Asymptotics for Ramanujan's Entire Function $A_q(z)$Curved Kakeya problems and the projective geometry of pathsAlmost everywhere convergence of Mock Fourier series for the standard middle-fourth Cantor measure with respect to its canonical spectrumLimit theorems for differential systems with multipoint boundary conditions in Sobolev spacesReflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domainsEmbedding $C(K)$ for countable $K$ into
arXiv math.CAの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-07-30/ Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation EquationAsymptotic for orthogonal polynomials with respect to a rational modification of a measure supported on the semi-axisA Mixed-Resonance Counterexample to the Lukic ConjectureHolder regularity of Hartman-Grobman theorem on vector bundleAppell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes boundsDynamical phase retrieval for Schr{\"o}dinger evolution
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/2026-07-29/ A Lusin theorem for nonlocal gradientsThe Endpoint Eigenfunction Bound for the Hermite Operator in Two DimensionsThe Winding Number at the Critical H\"older Exponent 1/3: Failure of Universal Fourier SummationMulti-Parameter Exponential Sums with Product Hilbert KernelsAn antichain approach to a conjecture of ZygmundMimicking diffusion processes with differential equationsJacobi polynomials on the simplex of Hermitian matrices and zonal spherical functions on partial flag manifoldsP\'olya's C
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/2026-07-28/ Symmetric Jacobi Polynomials on a Triangle and Their Spectral Algebra$L^p$-Integrability of Radon-Nikodym Densities Between Harmonic Energy Measures on the Sierpinski GasketWeak-$A_\infty$ packing and estimates for fractional sparse forms on spaces of homogeneous typeSpectrality of Moran-Type Measures Generated by Two-Element and Three-Element Digit SetsA Fixed-Point Construction of the Elementary Transcendental FunctionsNonexistence of universal Fourier summation formulas for the degree bel
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/2026-07-27/ Discrete nonlinear H\"older--Brascamp--Lieb inequalities: a local approachBourgain-Ruzsa Type Estimates for the Maximum and Minimum of Littlewood Cosine polynomials on the Real LineDual spaces and T1 theorem of variable Dunkl--Hardy spacesVariable Hardy spaces in the Dunkl SettingEquality problem for generalized quasiarithmetic means generated by discontinuous strictly monotonic functionsCharacterization of the boundedness of the segment multiplier on rearrangement-invariant spacesThe fractio
