Two results on the Dunkl maximal operator
Volume 203 / 2011
Studia Mathematica 203 (2011), 47-68
MSC: Primary 42B10; Secondary 42B25.
DOI: 10.4064/sm203-1-3
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 $\mathbb Z_2^d$ case by establishing a result of exponential integrability corresponding to the case $p=+\infty$.
