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 by establishing a result of exponential integrability corresponding to the case p = +∞.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm203-1-3,
author = {Luc Deleaval},
title = {Two results on the Dunkl maximal operator},
journal = {Studia Mathematica},
volume = {204},
year = {2011},
pages = {47-68},
zbl = {1221.42017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm203-1-3}
}
Luc Deleaval. Two results on the Dunkl maximal operator. Studia Mathematica, Tome 204 (2011) pp. 47-68. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm203-1-3/