Maximal operator in Dunkl-Fofana spaces

2020/05/24 by Pokou Nagacy, Nagacy, Pokou, Justin Feuto +1
Mathematics · #42A99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2005.12748

openalex publication_date 2020/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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