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

Published 24 Sep 2019 in math.FA | (1909.11153v2)

Abstract: We study $L^p$ bounds for two kinds of Riesz transforms on $\mathbb{R}^d$ related to the harmonic oscillator. We pursue an explicit estimate of their $L^p$ norms that is independent of the dimension $d$ and linear in $\max(p, p/(p-1))$.

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Authors (1)

Maciej Kucharski

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