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

Luc Deleaval (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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.

Mots clés: Dunkl maximal operator; Dunkl transform; Fefferman-Stein inequalities; Harmonic analysis

Domaines: Analyse classique [math.CA]

Luc Deleaval. Fefferman-Stein inequalities for the \mathbb{Z}_2^d Dunkl maximal operator. Journal of Mathematical Analysis and Applications, 2009, 360 ((2)), pp.711-726. ⟨hal-00333258v2⟩