Classical Analysis and ODEs

Authors and titles for math.CA in Jul 2022

[1]  arXiv:2207.00123 [pdf, ps, other]

Title: Yet another proof that the roots of a polynomial depend continuously on the coefficients

Authors: David A. Ross

Comments: 6 pages. Clarifies some statements in an earlier version

Subjects: Classical Analysis and ODEs (math.CA); Rings and Algebras (math.RA)

[2]  arXiv:2207.00359 [pdf, ps, other]

Title: Translation beyond Delsarte

Authors: Á. P. Horváth

Comments: 23 pages

Subjects: Classical Analysis and ODEs (math.CA)

[3]  arXiv:2207.00393 [pdf, ps, other]

Title: Differential-Difference Properties of Hypergeometric Series

Authors: Nicolas Brisebarre, Bruno Salvy

Comments: 14 pages. Revised version to appear in Proc. AMS

Subjects: Classical Analysis and ODEs (math.CA)

[4]  arXiv:2207.00404 [pdf, ps, other]

Title: Turán-type inequaities for generalized polygamma function

Authors: Omprakash Atale

Comments: 6 pages

Subjects: Classical Analysis and ODEs (math.CA); Number Theory (math.NT)

[5]  arXiv:2207.00652 [pdf, ps, other]

Title: Decoupling estimates in Fourier analysis

Authors: Larry Guth

Comments: 31 pages

Subjects: Classical Analysis and ODEs (math.CA)

[6]  arXiv:2207.00764 [pdf, ps, other]

Title: Multilinear rough singular integral operators

Authors: Loukas Grafakos, Danqing He, Petr Honzik, Bae Jun Park

Subjects: Classical Analysis and ODEs (math.CA)

[7]  arXiv:2207.01097 [pdf, ps, other]

Title: A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem

Authors: Brian Cook, Kevin Hughes, Zane Kun Li, Akshat Mudgal, Olivier Robert, Po-Lam Yung

Comments: 25 pages; revised version incorporating referee comments, to appear in Mathematika

Subjects: Classical Analysis and ODEs (math.CA); Number Theory (math.NT)

[8]  arXiv:2207.01355 [pdf, ps, other]

Title: One-sided $C_{p}$ estimates via $M^{\sharp}$ function

Authors: María Lorente, Francisco J. Martín-Reyes, Israel P. Rivera-Ríos

Subjects: Classical Analysis and ODEs (math.CA)

[9]  arXiv:2207.01385 [pdf, ps, other]

Title: Fractional Bloom boundedness and compactness of commutators

Authors: Tuomas Hytönen, Tuomas Oikari, Jaakko Sinko

Comments: V2: 26 pages, minor revision according to referee comments, accepted for publication in Forum Mathematicum. V1:26 pages

Journal-ref: Forum Mathematicum, 2023

Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)

[10]  arXiv:2207.01442 [pdf, ps, other]

Title: Notes on $q$-partial differential equations for $q$-Laguerre polynomials and little $q$-Jacobi polynomials

Authors: Qi Bao, DunKun Yang

Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)