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Convolution operator and maximal function for Dunkl transform by Thangavelu, Sundaram; Xu, Yuan is a scholarly article available to read on EtoBox.

What is Convolution operator and maximal function for Dunkl transform about?

For a family of weight functions, $h_\kappa$, invariant under a finite reflection group on $\RR^d$, analysis related to the Dunkl transform is carried out for the weighted $L^p$ spaces. Making use of the generalized translation operator and the weighted convolution, we study the summability of the inverse Dunkl transform, including as examples the Poisson integrals and the Bochner-Riesz means. We also define a maximal function and use it to prove the almost everywhere convergence.

Author

Thangavelu, Sundaram; Xu, Yuan

Published

2004

Language

EN