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arXiv · 1708.04639

On dimension-free variational inequalities for averaging operators in $\mathbb R^d$

Jean Bourgain·Mariusz Mirek·Elias M. Stein·Błażej Wróbel
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Abstract

We study dimension-free $L^p$ inequalities for $r$-variations of the Hardy--Littlewood averaging operators defined over symmetric convex bodies in $\mathbb R^d$.

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Jean Bourgain, Mariusz Mirek, Elias M. Stein, Błażej Wróbel. 2017-08-15. On dimension-free variational inequalities for averaging operators in $\mathbb R^d$. https://arxiv.org/abs/1708.04639

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