On the dimension-free control of higher order truncated Riesz transforms by higher order Riesz transforms

Maciej Kucharski, Mateusz Kwaśnicki, Błażej Wróbel

Fix a positive integer $k$. Let $R_k$ be a higher order Riesz transform of order $k$ on ${\mathbb{R}}^d$ and let $R_k^t,$ $t>0,$ be the corresponding truncated Riesz transform. We st…