Mateusz Kwaśnicki

activity

20232026

collaborators

Showing math.CAShow all

4 papers · 1 filter

math.CA2026

Shorter proof of dimension-free $L^{p}$ estimates for maximal Riesz transforms

Maciej Kucharski, Mateusz Kwaśnicki

We provide a shorter and more direct proof of $L^{p}$ estimates for maximal Riesz transforms (of an arbitrary order) in terms of the corresponding Riesz transforms, with a constant i…

math.CA2026

Maximal inequalities for derivatives of spherical means

Mateusz Kwaśnicki

We give an alternative formulation of Stein's maximal inequality for generalised spherical averages in terms of derivatives of standard spherical means: if \[ k \ge 0, \qquad d \ge…

math.CA2025

On the dimension-free control of higher order truncated Riesz transforms by higher order Riesz transforms

Maciej Kucharski, Mateusz Kwaśnicki, Błażej Wróbel

Fix a positive integer $k$ . Let $R_{k}$ be a higher order Riesz transform of order $k$ on $R^{d}$ and let $R_{k}^{t},$ $t > 0,$ be the corresponding truncated Riesz transform. We st…

math.CA2024

Two-sided bell-shaped sequences

Mateusz Kwaśnicki, Jacek Wszoła

A nonnegative real function f is bell-shaped if it converges to zero at plus and minus infinity and the nth derivative of f changes sign n times for every n = 0, 1, 2, ... Similarl…

Shorter proof of dimension-free Lp estimates for maximal Riesz transforms

Maximal inequalities for derivatives of spherical means

On the dimension-free control of higher order truncated Riesz transforms by higher order Riesz transforms

Two-sided bell-shaped sequences

Shorter proof of dimension-free $L^{p}$ estimates for maximal Riesz transforms