English

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

Functional Analysis 2021-11-08 v2

Abstract

In this article, we prove dimension-free upper bound for the LpL^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.

Keywords

Cite

@article{arxiv.2110.15735,
  title  = {Dimension-free $L^p$ estimates for vectors of Riesz transforms in the rational Dunkl setting},
  author = {Agnieszka Hejna},
  journal= {arXiv preprint arXiv:2110.15735},
  year   = {2021}
}

Comments

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