MAXIMAL AND POTENTIAL OPERATORS ASSOCIATED WITH GEGENBAUER DIFFERENTIAL OPERATOR ON GENERALIZED MORREY SPACES

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

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, vol.46, no.1, pp.129-143, 2020 (ESCI)

• Publication Type: Article / Article
• Volume: 46 Issue: 1
• Publication Date: 2020
• Doi Number: 10.29228/proc.23
• Journal Name: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.129-143
• Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this paper we study the boundedness of the maximal (Gmaximal) and potential (G-potential) operators associated with Gegenbauer differential operator on generalized G-Morrey spaces. The results of this paper are generalizations of the corresponding results to generalized G-Morrey spaces and modified Morrey spaces.We obtain also analogs of E.Nakai's results for the Hardy-Littlewood maximal operator and the Riesz potential in generalized Morrey spaces.