GEGENBAUER FRACTIONAL MAXIMAL FUNCTION AND ITS COMMUTATORS ON GEGENBAUER-ORLICZ SPACES

Ibrahimov E. J., Jafarova S. A. R.

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, vol.177, no.2, pp.217-236, 2023 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 177 Issue: 2
  • Publication Date: 2023
  • Journal Name: TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.217-236
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this paper, we find the necessary and sufficient conditions for the boundedness of Gegenbauer fractional (G-fractional) maximal operator MaG in Gegenbauer-Olicz (G-Orlicz) spaces. As an application of these results, we consider the boundedness of G-fractional maximal commutator Mb,a G in G-Orlicz spaces.