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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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.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.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…

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

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

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

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