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

collaborators

8 papers

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.FA2024

Dimension-free estimates for positivity-preserving Riesz transforms related to Schrödinger operators with certain potentials

Maciej Kucharski

We study the $L^{\infty} (R^{d})$ boundedness for Riesz transforms of the form $V^{a} (- \frac{1}{2} Δ + V)^{- a},$ where $a > 0$ and $V$ is a non-negative potential with power growth…

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.FA2022

Dimension-free $L^{p}$ estimates for odd 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 maximal Riesz transforms of odd order in terms of the corresponding Riesz transforms. This i…

math.FA2022

On $L^{p}$ estimates for positivity-preserving Riesz transforms related to Schrödinger operators

Maciej Kucharski, Błażej Wróbel

We study the $L^{p},$ $1 ⩽ p ⩽ \infty,$ boundedness for Riesz transforms of the form $V^{a} (- \frac{1}{2} Δ + V)^{- a},$ where $a > 0$ and $V$ is a non-negative potential. W…

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…

math.FA2019★ 5 cited

Dimension-free estimates for Riesz transforms related to the harmonic oscillator

Maciej Kucharski

We study $L^{p}$ bounds for two kinds of Riesz transforms on $R^{d}$ related to the harmonic oscillator. We pursue an explicit estimate of their $L^{p}$ norms that is independen…

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 estimates for positivity-preserving Riesz transforms related to Schrödinger operators with certain potentials

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

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

On Lp estimates for positivity-preserving Riesz transforms related to Schrödinger operators

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

Dimension-free estimates for Riesz transforms related to the harmonic oscillator

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

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

On $L^{p}$ estimates for positivity-preserving Riesz transforms related to Schrödinger operators

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