$L^p$ norm of truncated Riesz transform and an improved dimension-free $L^p$ estimate for maximal Riesz transform

Jinsong Liu, Petar Melentijević, Jian-Feng Zhu

In this paper, we prove that the $L^p({\mathbb{R}}^d)$ norm of the maximal truncated Riesz transform in terms of the $L^p({\mathbb{R}}^d)$ norm of Riesz transform is dimension-free for…