Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator

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

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.46, no.18, pp.18605-18632, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 18
  • Publication Date: 2023
  • Doi Number: 10.1002/mma.9582
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.18605-18632
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this paper, we establish necessary and sufficient conditions for the boundedness of the fractional integral on G-Morrey space generated by Gegenbauer differential operator. A similar problem is studied for the fractional maximal operator.