Fefferman-Stein inequalities for the \mathbb{Z}_2^d Dunkl maximal operator

preprint2013arXivOpen access

Abstract

In this article, we establish the Fefferman-Stein inequalities for the Dunkl maximal operator associated with a finite reflection group generated by the sign changes. Similar results are also given for a large class of operators related to Dunkl's analysis.

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