Maximal Bochner–Riesz operators on Hardy-type spaces in the Dunkl setting

Abstract In this paper, we introduce new atomic Hardy-type spaces in the Dunkl setting and we investigate some properties of the Dunkl transform on . Next, we study the maximal Bochner–Riesz operators on these spaces. Keywords: Dunkl transformHardy-type spacesmaximal Bochner–Riesz operators2000 Mathematics Subject Classification: Primary: 42B3546F12 Acknowledgements The author was partially supported by DGRST project 04/UR/15-02 and CMCU program 10G 1503.