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arXiv · 2609.11537

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

Maciej Kucharski·Mateusz Kwaśnicki
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Abstract

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 independent of the dimension of the Euclidean space $\mathbb R^d$. This result was originally proved by Mateu, Orobitg, P\'erez and Verdera with a constant depending on the dimension, and improved to a dimension-free inequality by Kucharski, Wr\'obel and Zienkiewicz.

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Maciej Kucharski, Mateusz Kwaśnicki. 2026-09-10. Shorter proof of dimension-free $L^p$ estimates for maximal Riesz transforms. https://arxiv.org/abs/2609.11537

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