CHARACTERIZATIONS FOR THE G-FRACTIONAL INTEGRAL OPERATORS IN GENERALIZED G-MORREY SPACES ON R+

Ibrahimov E. J., Binnatova A. O., CƏFƏROVA S.

Transactions of A. Razmadze Mathematical Institute, vol.180, no.1, pp.65-79, 2026 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 180 Issue: 1
  • Publication Date: 2026
  • Journal Name: Transactions of A. Razmadze Mathematical Institute
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.65-79
  • Keywords: G-fractional integral operator, G-maximal operator, Generalized G-Morrey space
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this paper, we study the boundedness of the G-fractional integral operators JGαon R+ = [0, ∞) in the generalized Morrey G-spaces Mp,ν,λ(R+). We characterize the strong and weak types of boundedness of JGα on the generalized G-Morrey spaces, respectively.