On the Riesz Potential and Its Commutators on Generalized Orlicz-Morrey Spaces

We consider generalized Orlicz-Morrey spaces MΦ,φ(ℝn) including their weak versions WMΦ,φ(ℝn). In these spaces we prove the boundedness of the Riesz potential from MΦ,φ1(ℝn) to MΨ,φ2(ℝn) and from MΦ,φ1(ℝn) to WMΨ,φ2(ℝn). As applications of those results, the boundedness of the commutators of the Rie...

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Bibliographic Details
Main Authors: Vagif S. Guliyev, Fatih Deringoz
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/617414