Geodesic
Two results on the Dunkl maximal operator
Luc Deleaval1
1 Institut de Mathématiques de Jussieu Université Pierre et Marie Curie 4 place Jussieu 75005 Paris, France
Studia Mathematica, Tome 203 (2011) no. 1, pp. 47-68

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $p=+\infty$.
DOI : 10.4064/sm203-1-3
Keywords: article first improve scalar maximal theorem dunkl maximal operator giving precisions behavior constants theorem general reflection group complete vector valued theorem dunkl type fefferman stein operator mathbb establishing result exponential integrability corresponding infty

Luc Deleaval 1

1 Institut de Mathématiques de Jussieu Université Pierre et Marie Curie 4 place Jussieu 75005 Paris, France 
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Luc Deleaval. Two results on the Dunkl maximal operator. Studia Mathematica, Tome 203 (2011) no. 1, pp. 47-68. doi: 10.4064/sm203-1-3

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