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 $L^p({\mathbb{R}}^d)$, $1<p<\infty$, estimate for the vector of maximal Riesz transforms of odd order in terms of the corresponding Riesz transforms. This i…