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arXiv · 1909.11153

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

Maciej Kucharski
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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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Maciej Kucharski. 2019-09-24. Dimension-free estimates for Riesz transforms related to the harmonic oscillator. https://doi.org/10.4064/cm8047-8-2020

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