Dimension-free $L^p$ estimates for higher 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 higher order maximal Riesz transforms in terms of the corresponding Riesz transforms. This i…