プレプリどんどん: math.CA

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/

1. A note on the asymmetric discretised ring theorem
2. Projection theorems for macroscopic intermediate dimensions
3. Multiple solutions of singular periodic problems
4. On the mapping properties of a radially power-weighted k-plane transform
5. On pointwise convergence of singular integrals of Christ-Journ\'e type
6. Lower bounds for parameter-dependent oscillatory integrals and Fourier frames on hypersurfaces
7. Sparse domination and the bi-parameter Hilbert transform
8. The strong $\ell^r$ spherical maximal function
9. Lebesgue measure of distance sets and $L^2$ ball inflation
10. Dunkl--BMO functions representable in terms of generalized balayage of Carleson measures and an application
11. Null-additive sets and packing measures
12. Addition formula for two families of orthogonal polynomials in several variables
13. Weak reverse H\"older inequalities for doubling measures
14. A Fraction Dimensional Kakeya Compression
15. Improved dimension bounds for Falconer's distance problem in the plane
16. Multilinear transference on product spaces and applications
17. A uniqueness result for two-step indefinite $p$-Laplacian equations
18. Refinements on the Restriction and Kakeya problems range in $\mathbb{R}^4$
19. Point Configurations in Brownian Traces
20. Pointwise Convergence of Random Ergodic Averages at the \(L^1\) Endpoint
21. Sharp Poincar\'e Inequalities for Families of Nonlocal Nonconvex Functionals
22. Borwein-Bradley-type identities for Ramanujan-type series for $1/\pi^4$
23. From Sharp Self-Improvement to Exact Perimeter Formulas in Bourgain--Brezis--Mironescu Spaces
24. Sharp uniform stability of the logarithmic Sobolev inequality on finite cycles and stability of the cubic Sobolev inequality
25. From the Sphere to the Grassmannian: Continuous Brascamp--Lieb Inequalities via Measure Approximation and Heat Flow
26. Exactness of weighted exponential systems with a defect
27. Characterization of the boundedness of the discrete Fractional maximal operator between weighted in Lorentz sequence spaces
28. Optimal Tail Estimates for Differential Equations Driven by Fractional Brownian Motion
29. Noncommutative maximal inequalities for polynomial ergodic averages
30. Uniform oscillation properties of almost periodic functions

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/

1. Maximal directional singular integrals
2. Space curve Fourier restriction for orthonormal functions
3. Weak type $(1,1)$ bounds for oscillatory singular integrals with rough kernels
4. Sharp rational points counting near nondegenerate curves in $\mathbb{R}^n$
5. Counterexamples for Rational Points Near Curves
6. Input-Endpoint Compactness and Essential Norms for Weighted Bilinear Hardy Operators
7. Compactness and Essential Distances of Weighted Bilinear Hardy-Steklov Operators
8. Differential inclusions and the chattering phenomenon

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/

1. Stability of concentration in the Paley-Wiener space
2. Strip Decoupling Inequalities for the Paraboloid in $\mathbb{R}^3$
3. Quantitative possibilities for Baxter's theorem in nonlinear Fourier analysis
4. Endpoint Mapping Properties of Wave Operators for Schr\"odinger Operators in Dimensions $n\ge3$
5. Vanishing orders of Dirichlet solutions to the Schr\"odinger equation in dimensions three and higher
6. Quadratic distances in even dimensions over prime fields
7. Decoupling and Tail Laws for Small-Order Metric-Valued Nonlocal Energies: A Structural View of the Maz'ya--Shaposhnikova Formula
8. An abstract averaging method for quasilinear equations
9. An averaging method for periodic solutions of quasilinear equations in Banach spaces

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/

1. Hyperplane Incidences and Distance Sets in Higher Dimensions
2. Tur\'an type inequalities for oscillatory special functions
3. Sharp volume bounds for BRK-type sets of surfaces of revolution
4. The Minkowski $?(x)$ function and Salem's problem. II
5. On planar Nikodym-type sets
6. A Note on Capacity Muckenhoupt Weights with respect to the Hausdorff Content
7. Natural reparameterization and continuity of the solution map for polynomials
8. A Kac-Moody root system and linear ordinary differential equations
9. On Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimate
10. The Pearl ensemble and the logarithmic energy on the Sphere
11. More on dominated and microscopic sets
12. The Work of Hong Wang
13. Weak type $(1,1)$ boundedness of noncommutative singular integral operators with rough kernels
14. Small additive groups with $A+\xi A=\mathbb R$
15. Assouad type dimensions of generalized affine fractal interpolation functions and their applications
16. Exact barycentric rational interpolation of analytic functions with an application to the Bessel functions
17. Sharp spherical extension theorem in $\mathbb F_q^{2m}$ and applications
18. A stochastic Carleson embedding theorem with constant $e$ and the vector of Riesz transforms
19. A Hartman-Grobman theorem on Banach bundles
20. Resurgent rigidity of mock theta functions: uniqueness and natural boundary crossing

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/

1. Subadditive bijections on the positive reals
2. A note on Rainwater's Theorem
3. Positive Cubature Compression and Optimal Hyperinterpolation Stability on a Conic Surface
4. Assouad and Lower Dimensions of Graphs of Weierstrass-Type Functions with Rapidly Growing Frequencies
5. Compactness and Essential Norms of Weighted Bilinear Hardy Operators on General Intervals
6. Flag multiresolutions: T1, paraproducts and commutators
7. Critical Points of Line Restrictions of Signed Point-Charge Potentials
8. Sharp Thresholds for Distance Patterns in Random Subsets of $\mathbb Z^d$
9. Absolutely Continuous Convolutions and Projections of Fractal Measures
10. Beyond Constant Truncations: The Bounded Sobolev Approximation Gap
11. Polynomial Counterexamples to Shanks' Conjecture in Dirichlet-Type Spaces over the Bidisc
12. Optimal Hardy Inequalities for Fractional $p$-Laplacians on the Integers
13. Elementary Askey-Wilson Functions
14. The double descent and Runge phenomena in overparametrized polynomial interpolation
15. A geometric rigidity estimate for codimension-1 immersions into spheres

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/

1. Hahn-Type Orthogonality for the Resolvent Delta Operator $\mathscr L=D(I-D)^{-1}$
2. A component-wise inequality for permutation matches
3. Characterization of the boundedness of the segment multiplier on weighted Lebesgue spaces
4. Sharp Bernstein--Nikolskii inequalities for polynomials and entire functions of exponential type
5. Sharp lower bounds for the periodic maximal Schr\"odinger operator in higher dimensions
6. Rigidity of reflectionless Riesz measures and Sobolev estimates for Riesz transforms on Lipschitz graphs
7. Gabor frames with no Gabor duals
8. Endpoint Absolute Monotonicity for the Complete Elliptic Integral of the First Kind
9. Stochastic maximal $L^p$-regularity for non-autonomous evolution equations with fractional derivative in UMD spaces
10. Sharp $L^p$ estimates for the strong spherical maximal operator
11. Level set estimates for strictly convex and hyperbolic functions
12. Mollified disc multipliers
13. Discreteness, finite rank, and stability of p-frame energy minimizers
14. Weighted Bernstein-type inequalities on a trapezoidal domain
15. A Formalism for Merging Power Series in Solving Multinomial Equations: Master Series and Master Numbers
16. Favard length of non-homogeneous random disc-like Cantor sets
17. Sharp Matrix $\mathcal A_p$ lower bounds for general non-degenerate convolution Calder\'on--Zygmund operators
18. Rough Singular Integrals and Marcinkiewicz Integrals on Product Spaces, with $H^1$ Characterizations on Product Spheres
19. The Guo-Zhang-Qi conjecture and positive Laplace kernels for a digamma power family
20. Monotone Sobolev functions: approximation, critical points, and level sets
21. Weak Endpoint Estimate for Commutators of Rough Maximal Singular Integral operators
22. Positive measure and level sets of the Takagi function
23. Sharp Quantitative Matrix-Weighted Estimates for Fractional Integrals and Sobolev Inequalities
24. On the Nazarov--Shcheglova Conjecture for Sharp Sobolev Inequalities: The Case (n,p)=(3,2)
25. Wave Packet Density in Local Smoothing: Refinements and Limitations
26. Weak Tiling by Unions of Non-overlapping Unit Cubes
27. Pitt Inequalities and Logarithmic-type Uncertainty Principles for Metaplectic Operators
28. Sharp weighted $L^1$ bounds for Coulomb fields on the sphere
29. The Szemer\'edi-Trotter Estimate in Finite Field with its Applications
30. Algorithmic Implementation of Multi-Window STFT Phase Retrieval
31. Visibility problem in higher dimensions
32. Toward P\'olya and Szeg\H{o}'s conjecture for logarithmic vs Newtonian capacity
33. Mean values, order, and convergence in the Hardy space of Dirichlet series
34. Jackson-type Inequalities with Explicit Weight Dependence for N-term Wavelet Approximation on Localized Weighted Besov Classes
35. Oscillation of Second-Order Delay Equations with Positive Feedback
36. A Fourier approach to the sharp stability of Heisenberg Uncertainty Principles of higher and fractional orders: a new perspective
37. Rootwise estimates for Weyl alternants
38. Why Directly Learning Periodic Trajectories Can Fail
39. On $L^p$ bounds for the Littlewood-Paley $g_\alpha$ function with fractional poisson kernel
40. Sharp Gaussian divergence and Bernstein-Markov inequalities
41. Spherical ESPRIT by Paired Small Circles and Infinitesimal Rotations
42. The strong reproducing kernel thesis for Hankel operators and the Garsia norm
43. An elementary treatment of Ramanujan's elementary continued fractions
44. $k$-Fibonacci and $k$-Lucas numbers with the H\"older inequality
45. An improved high-low method for the parabola
46. Off-diagonal bounds for spectral projector kernels
47. Coxeter Symmetry in Hypergeometric Functions and Elliptic Integral Moments
48. Refined Gauss--Lobatto bounds for odd-order convexity
49. Convex counterexamples to the Schiffer and Pompeiu conjectures in dimensions three, four, six, eight, ten and fourteen
50. A BMO-type representation formula for the total variation of SBV functions in Heisenberg groups

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/

1. Almost-orthogonal Strichartz estimates and radial improvements
2. Discrete orthogonal polynomials related to Hahn difference operator
3. On convergence of formal Dulac series, satisfying an algebraic $q$-difference equation
4. Formalizing Carleson's Theorem in Lean
5. The Wiener norm of lifts of dense Sidon sets
6. Sharp weighted weak-type bounds for commutators of singular integrals
7. Prescribed projections for a general class of maps and efficient covering by variable plane curves
8. Phase retrieval for Schr\"odinger evolutions
9. Extremals and stability for the Folland-Stein inequality on H-type groups
10. Upper and lower fluctuations in Shallit's law of leap years in Pierce expansions
11. An elementary solution to the polarization problem
12. The derivative function of the zeta-star correspondence
13. Optimal stability hierarchies of the Heisenberg Uncertainty Principle for solenoidal fields and of the second order Caffarelli--Kohn--Nirenberg inequalities
14. Completely monotone negative powers of hyperbolic polynomials

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/

1. Endpoint Riesz transforms on normalized graphs
2. On the Alzer-Berg problem: an optimal Bernstein boundary and a uniqueness conjecture
3. Sharp power-mean comparisons for Gauss hypergeometric functions
4. Spectral eigenvalue problem of Cantor measures and Artin's primitive root conjecture
5. The ultraspherical background of the Jacobi phase expansion, in closed form
6. Critical Hausdorff Measure for Higher-Dimensional Bedford-McMullen Subshifts
7. Form domination and tent space estimates for operators on the half-space
8. Sharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distribution
9. Method I revisited: extension, continuity, and applications
10. Hausdorff-Young inequalities for $\mathrm{SU}(1,1)$ Fourier products indexed by binary cubes
11. Ornstein-Uhlenbeck semigroup maximal operator on weighted $L^p$ space
12. Wiman-Valiron inequalities in the unit disk outside sets of finite logarithmic measure
13. Absolute continuity and dimension conservation for self-similar sets and measures
14. Preduals of weighted homogeneous Bourgain-Morrey Besov-Triebel-Lizorkin spaces associated with operators

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/

1. On $C^k$ convex variants of Stein's Weighted $L^2$ Conjecture for Bochner-Riesz means
2. Spectrality of Weighted Measures on Two Line Segments
3. Spherical harmonics, operators of multiplication by coordinates, and infinitesimal conformal transformations
4. Sparse bounds and joint oscillation for bilinear rough commutators
5. On the Central Maximal Function in $\mathbb{R}^n$
6. A set of points with optimal $L^2$ spherical cap discrepancy
7. The weak-type $(1,1)$ estimates for wave equation on $ax+b$ groups
8. A minimal HRT counterexample at the sharp Gelfand--Shilov threshold
9. Derivatives of Theta Functions and a Problem of Lyubarskii and Nes
10. The critical mixed-arithmetic four-point HRT theorem
11. Complex median method
12. Besicovitch Compression and a Quantitative Failure of Endpoint Fourier Restriction
13. Phase retrieval from a uniformly discrete point set
14. A Szemer\'edi-Trotter Theorem in Arbitrary Fields
15. Geometric lifting and Freiman's $3k-4$ theorem in compact connected abelian groups
16. A proof of the Holmes-Holroyd-Ramirez cyclic-product conjecture
17. Sharp Higher Integrability Theory, Part I: The $L^p$-norm of the Beurling--Ahlfors transform
18. Multiplicity-Weighted Moments Across a Harmonic Caustic: Closed Forms with Order-Independent Breakpoints
19. The Spectra of the Henze-Zirkler and Henze-Wagner Operators for BHEP Tests

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/

1. A reciprocal-Gamma Mehler--Heine limit for Krawtchouk--Sobolev type orthogonal polynomials with an exterior mass point
2. Spectral synthesis with the complexity parameter in $\mathbb{Z}_N^d$
3. Dynamical Sampling in Graph Paley--Wiener Spaces
4. Matrix Continued Fractions from Bidiagonal Factorizations
5. Hypergeometric Mixed-Type Multiple Orthogonal Polynomials
6. Dunkl theory, convolution algebras, and related Markov processes
7. Voltage and current density in a rectangle with point in- and ejection via Green's functions and $q$-analysis
8. Exponential improvements in Rado's covering problem
9. The dHYM equation on crepant resolutions of Calabi-Yau cones
10. Compact sets in Banach lattices over spaces of homogeneous type
11. Basic Reproduction Ratios for Almost Periodic Non-Densely Defined Cauchy Problems
12. Remarks on the Geometry of Sets in $\mathbb{Z}^d$ with Small Fourier $L^1$ Norm
13. The cubic discriminant as an organizing principle for Duffing dynamics