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


Creative Commons License

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) identifier identifier

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.