English

Maximal operator in Dunkl-Fofana spaces

Classical Analysis and ODEs 2020-09-14 v2

Abstract

We generalize Wiener amalgam spaces by using Dunkl translation instead of the classical one, and we give some relationship between these spaces, Dunkl-Lebesgue spaces and Dunkl-Morrey spaces. We prove that the Hardy-Litlewood maximal function associated with the Dunkl operators is bounded on these generalized Dunkl-Morrey spaces.

Keywords

Cite

@article{arxiv.2005.12748,
  title  = {Maximal operator in Dunkl-Fofana spaces},
  author = {Pokou Nagacy and Justin Feuto},
  journal= {arXiv preprint arXiv:2005.12748},
  year   = {2020}
}

Comments

We fixed some typos. Accepted for publication

R2 v1 2026-06-23T15:49:21.760Z