Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spacesReport as inadecuate




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Journal of Inequalities and Applications

, 2016:248

Proceedings of the International Conference on Analysis and Applications

Abstract

In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively. Also we give criteria for the weak versions of Spanne and Adams type boundedness of the Riesz potential on the generalized Orlicz-Morrey spaces. In all the cases the conditions for the boundedness are given in terms of Zygmund type integral inequalities involving the Young function \\Phiu\ and the function \\varphix,r\ defining the space.

Keywordsgeneralized Orlicz-Morrey space Riesz potential commutator BMO MSC42B20 42B25 32A37 46E30  Download fulltext PDF



Author: Fatih Deringoz - Vagif S Guliyev - Sabir G Hasanov

Source: https://link.springer.com/



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