プレプリどんどん: math.CA

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/

1. Rectifiability of the straight visible boundary and the limits of segment-based Hardy criteria
2. P-adic Curved Kakeya Sets, Projection Theorem and Covering Numbers
3. A new type of deterministic Salem sets and its spectrality
4. $P$-adic $s$-energy and Fourier dimension
5. On higher-order differential equations for Laguerre-Hahn orthogonal polynomials
6. On the Rajchman property of homogeneous self-affine measures
7. The Coulhon--Duong conjecture for the Riesz transform on complete Riemannian manifolds
8. Endpoint estimates for commutators of singular integral operators associated with admissible functions
9. Endpoint Estimates for Commutators of the Dirichlet Riesz Transform on the Half-Space
10. The Zygmund conjecture and Rey's exponential integrability conjecture
11. Dimension-free estimates for discrete maximal functions over cubes in $\mathbb Z^d$
12. Establishing the Polynomial Wolff Axioms for $\delta$-Separated $\delta$-Tubes With #o-minimality
13. Uniqueness sets in weighted $\ell^2$-spaces via simultaneous approximation
14. Some Results on Lame-Heun Spectral Geometry
15. Collision Positivity for Three-Variable Symmetric Monomial Inequalities
16. On variation functions of lacunary series
17. Restricted isometry of sampled Fourier and Hadamard matrices via entropic descent
18. Sharp $L^2$-stability and gradient stability hierarchies of the $L^2$-Poincar\'e inequalities on Euclidean balls and Gaussian Poincar\'e inequality
19. Finite-data inverse nodal optimization in angular-momentum sectors of Schr\"{o}dinger operators
20. Exponential separation of self-conformal systems
21. Sharp zero estimates for trajectories of polynomial vector fields
22. A purely metric characterization of supercritical Sobolev spaces

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/

1. Super-g-H\"older Regularity in Stieltjes Dynamics: Atomic Structure, Exact Extremal Values, and Recovery of the Stieltjes Clock
2. Some freezing limits for Bessel functions and Bessel processes with drift of type $B_N$
3. Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $SL(2,\mathbb{R})$ Conformal Block
4. A boundedness result for degenerate parabolic Riesz transforms with rough coefficients
5. An Askey Scheme for Jacobi Systems of Mixed Type: Laguerre Limits of the First and Second Kinds and Hermite Limits
6. Kakeya and Furstenberg problems for sticky sets of tubes
7. An $m^{2.943}$ Bohnenblust--Hille Bound on the Boolean Cube
8. Complete characterization of planar $C^1$ linearizability and optimal conjugacy regularity
9. Dimension-free weak $(1,1)$ estimates for Riesz transforms with constant drift
10. Periodic Magnetic Geodesics with Every Low Energy: Existence and Localization
11. Projection Constants of Polynomial Spaces via Representation Theory
12. Lyapunov stability of polynomial vector fields is undecidable

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/

1. Complete Bernstein functions and scaled ultraspherical zeros
2. Rigorous analysis of giant magnetic vortex strings
3. Product-profile anti-concentration for block-structured multi-affine polynomials
4. The divergence set for the wave equation in higher dimensions
5. $L^p$ Decay Estimates for Circular Means of Fractal Measures in $\mathbb{R}^2$
6. Sharp mixed $A_p$-$A_\infty$ estimates for sparse operators on filtered and nonhomogeneous measure spaces
7. Universal completeness of exponentials
8. Sumsets of Ahlfors--David regular sets
9. Hausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systems
10. A constructive approach to range characterization of spherical mean transform in odd dimensions
11. Local Matrix Muckenhoupt Weights and Quantitative Weighted Inequalities Achieving Global Best Known Exponents
12. An exponential Lojasiewicz inequality for semi-Pfaffian sets

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/

1. Connection Formulae for a Generalised Ramanujan Entire Function
2. There are no Riesz bases of exponentials in balls and triangles
3. On Kolmogorov's rearrangement problem and Garsia's conjecture
4. Curved commutators in higher dimensions
5. Multilinear Mikhlin Multipliers with Degenerate Singularities
6. Range Failure, Resolvent Growth, and Resonance in Partially Dissipative Systems
7. Endpoint eigenfunction restriction estimates in codimension two
8. Sharp Strichartz estimates on the one-dimensional torus
9. Zeros of the Spectrogram of Colored Noise
10. $p$-roughness of paths and invariance of $p$-th variation
11. A Solution of Problem 2.5 by Brezis on the Planar Ginzburg--Landau Equation
12. On Two Questions by Brezis et al Concerning the Critical Difference Quotient Characterization of First-Order Sobolev Spaces
13. A Sharp Planar Fractional Isoperimetric Inequality
14. Absolute deviations of the binomial about a prescribed centre: the tail expansion in closed form

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/

1. Completing the Meijer--Barnes $K$-function: the excluded case $N<0$
2. Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractions
3. Sets with no Riesz bases of exponentials
4. Commutators with two matrix weights
5. Improved weighted bounds for the strong maximal function
6. Improved $L^p$ bounds for the helical maximal function in dimensions $n \geq 5$
7. Rational Points near Monofractal Curves and the Strong Oscillation Principle
8. Finite inverse nodal problems for singular weighted Sturm--Liouville equations: variational selection and spectral matching
9. Block-count constrained harmonic sums: spectral expansion and block-directed Euler-Maclaurin
10. Singular solutions to parabolic equations in one space dimension
11. On Sarnak--Str\"{o}mbergsson conjecture

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/

1. A Lower Bound on the Blob
2. Polynomial corners in finite fields beyond the distinct-degree case
3. Failure of the linear $A_2$ bound for the strong maximal operator
4. Spherical harmonics with maximal Lp norm growth
5. Non-radial Dunkl multipliers at the $L^2$-Sobolev threshold
6. On the weighted weak-type constant for the dyadic square function
7. The `1/9'-problem for the $\varphi$-functions
8. On the matrix $A_p$ conjecture
9. Erd\H{o}s's Robust Polynomial Interpolation Problem: the Optimal Exponential Scale
10. Cahn-Hilliard equation associated with hypergraph
11. Invariant sets of the double Hilbert transform
12. The lower envelope of ultraspherical polynomials
13. Spherical maximal operators on rank one Riemannian symmetric spaces of noncompact type
14. Besicovitch's covering theorem in the parabolic metric
15. BMO-Type characterizations and endpoint estimates for commutators of intrinsic square functions on Orlicz-Hardy spaces
16. Predictable subordination, sharp martingale inequalities and applications
17. The sharp $L^p$ bound for the imaginary part of the Beurling--Ahlfors operator on the lattice
18. The two cubic separable minimal surfaces: $\mathcal D_1\mathcal D_2\mathcal D_3=1$ and $\mathcal C_1+\mathcal C_2+\mathcal C_3=3\,\mathcal C_1\mathcal C_2\mathcal C_3$
19. Polynomial Growth of Complex Polynomial Hardy--Littlewood Constants
20. The Koml\'os conjecture for complex discrepancy
21. Parabolic uniform rectifiability is characterized by Carleson measure estimates for bounded caloric functions
22. Nested QMC designs on spheres

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/2026-09-14/

1. Martingale Transforms and Compensated Bellman Estimates for Dunkl Riesz Transforms
2. Trace-defect bounds for discrete Fourier concentration operators
3. An Elementary Proof of the Hambly-Lyons Uniqueness Theorem
4. Weighted Endpoint Variational and Jump Inequalites for Rough Singular Integrals
5. The norm of the centered Hardy--Littlewood maximal operator
6. Bourgain's Lambda(p) selection theorem: a greedy proof with polynomial failure bounds
7. A weighted restriction estimate in $\mathbb R^2$
8. Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probability
9. Some extremal problem for martingale transforms. III
10. Littlewood-Paley Theory For Orthogonal Expansions Associated With Root Systems
11. Hardy--Littlewood Maximal Operator and Two-Layer Muckenhoupt Weights on Infinite Rooted $k$-Ary Trees
12. Sharp $L^2 \to L^4$ extension inequality for quadratic surfaces in finite fields
13. Equal-Phase Monotonicity for Weighted Jacobi-Radau Functions and Jacobi Lebesgue Constants
14. Diameter-free reverse inequalities and superorthogonality
15. Minimal central slices of the regular simplex
16. Tangent-cone cancellation and Maz'ya's $\Phi$-inequalities on finitely cornered planar domains
17. Exotic operators on the Hardy spaces of the infinite-dimensional torus

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/2026-09-11/

1. Finite Hardy Phase Theory for Power Means: An exact analytic shooting family through the Carleman parameter
2. Dimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheres
3. On the log-concavity of the composite Bessel function $x^{\alpha}J_{\nu }\left( \beta x^{\gamma}\right) $
4. Riesz capacity ratios with negative exponents
5. Shorter proof of dimension-free $L^p$ estimates for maximal Riesz transforms
6. Liouville regular Jordan curves
7. A threshold for full packing dimension of H\"{o}lder images of sets and measures
8. Gaussians Do Not Always Maximize Mixed-Norm Strichartz Inequalities for the Schr\"odinger Equation

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/2026-09-10/

1. Mockenhaupt's Three-Term Hardy-Littlewood Majorant Conjecture
2. Optimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the second-order discrete Riesz transforms
3. Dimension-free estimates for the full discrete Euclidean ball maximal function
4. Loomis-Whitney inequalities on Reiter-Heisenberg groups
5. A proof of Askey's convexity conjecture
6. Positivity and Asymptotics for Chenevier's Orthogonal Polynomials
7. Primes with Restricted-Digit Differences
8. When Finite Free Curves Split
9. Whitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carath\'eodory spaces

arXiv math.CAの新着論文29本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-09/

1. Characterization on spectra of self-similar measures and the dual spectral set conjecture
2. Regular closed gradient ranges and asymptotic gradient values
3. A solution to the Erd\H{o}s Problem #1040
4. Terminating Zero-Balanced Hypergeometric Series Using Divided Differences
5. Exact Asymptotics of the Multidimensional Nikolskii Constant
6. Lifting curved Kakeya sets to linear Kakeya sets
7. A counterexample to the Gowers $U^k$ uncertainty conjecture for $k\ge 6$
8. Some constructions of restricted Kakeya sets
9. Admissible characterization in delay equations and robustness of exponential dichotomies against small-delay perturbations
10. Two-parameter variational estimates for averages over tori
11. Boundedness of Multilinear Hilbert Transforms Along Moment Curves
12. Pi\~neiro mixed orthogonal polynomials and bidiagonal factorization
13. Polynomial Bohnenblust--Hille Bounds for product of cyclic groups
14. A sharp covering theorem and Solyanik estimates for Euclidean balls
15. Boundary value problems for linear differential-algebraic equations: solvability via the Kronecker canonical form
16. An Askey-Type Confluence Scheme for Hahn-Like Multiple Orthogonality
17. Full-radius dimension-free maximal inequalities for discrete Euclidean balls
18. Symmetric products of Laguerre zeros
19. Intersections and Minkowski Sums of Four-Corner Cantor Dusts with the Unit Circle
20. Wavelet orthonormal bases for nonexpansive dilations
21. Estimates for $L^p$ variants of Gowers norms
22. Endpoint bounds for the Born-Jordan distribution
23. On the Two-Weight Problem for One-Sided Maximal Operators in Higher Dimensions
24. Distance Energies and Negative Type of Flat Tori
25. The equivalence of solutions to fractional and logarithmic Helmholtz equations
26. The spectrum of $(\xi\alpha^n)$ can be uncountable
27. Non-asymptotic bounds for the average singular value of a complex Gaussian matrix
28. Dimension free weak-type endpoint estimates for the vectors of the Dunkl--Riesz transform
29. On the well-posedness and efficient approximation for the classical Melan equation in suspension bridges