Maciej Kucharski

activity

20192026

most citedDimension-free estimates for Riesz transforms related to the harmonic oscillator

5 citations · 5 across the 6 of their papers we have counts for

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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.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.CA2023

Dimension-free $L^{p}$ estimates for higher order maximal Riesz transforms in terms of the Riesz transforms

Maciej Kucharski, Błażej Wróbel, Jacek Zienkiewicz

We prove a dimension-free $L^{p} (R^{d})$ , $1 < p < \infty$ , estimate for the vector of higher order maximal Riesz transforms in terms of the corresponding Riesz transforms. This i…

math.CA2021

A dimension-free estimate on $L^{2}$ for the maximal Riesz transform in terms of the Riesz transform

Maciej Kucharski, Błażej Wróbel

W prove a dimension-free estimate for the $L^{2} (R^{d})$ norm of the maximal truncated Riesz transform in terms of the $L^{2} (R^{d})$ norm of the Riesz transform. Consequ…

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

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

Dimension-free Lp estimates for higher order maximal Riesz transforms in terms of the Riesz transforms

A dimension-free estimate on L2 for the maximal Riesz transform in terms of the Riesz transform

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

Dimension-free $L^{p}$ estimates for higher order maximal Riesz transforms in terms of the Riesz transforms

A dimension-free estimate on $L^{2}$ for the maximal Riesz transform in terms of the Riesz transform