English

Two results on the Dunkl maximal operator

Classical Analysis and ODEs 2013-09-11 v2

Abstract

In this article, we first improve the scalar maximal theorem for the Dunkl maximal operator by giving some precisions on the behavior of the constants of this theorem for a general reflection group. Next we complete the vector-valued theorem for the Dunkl-type Fefferman-Stein operator in the case Z2d\mathbb Z_2^d by establishing a result of exponential integrability corresponding to the case p=+p=+\infty.

Keywords

Cite

@article{arxiv.1007.3711,
  title  = {Two results on the Dunkl maximal operator},
  author = {Luc Deleaval},
  journal= {arXiv preprint arXiv:1007.3711},
  year   = {2013}
}

Comments

Some corrections made

R2 v1 2026-06-21T15:51:05.986Z