Two results on the Dunkl maximal operator

Details Two results on the Dunkl maximal operator Two results on the Dunkl maximal operator

2010-07-21

arxiv.org/abs/1007.3711v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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 $\mathbb Z_2^d$ by establishing a result of exponential integrability corresponding to the case $p=+\infty$.

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