Dimension-free $L^p$ estimates for vectors of Riesz transforms in the rational Dunkl setting

Abstract

In this article, we prove dimension-free upper bound for the $L^p$-norms of the vector of Riesz transforms in the rational Dunkl setting. Our main technique is Bellman function method adapted to the Dunkl setting.

arXiv commentResearch supported by the National Science Centre, Poland (Narodowe Centrum Nauki), Grant 2018/31/B/ST1/00204