Boundedness of the Maximal, Potential and Singular Operators in the Generalized Morrey Spaces

We consider generalized Morrey spaces ℳp,ω(ℝn) with a general function ω(x,r) defining the Morrey-type norm. We find the conditions on the pair (ω1,ω2) which ensures the boundedness of the maximal operator and Calderón-Zygmu...

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Bibliographic Details
Main Author: Vagif S. Guliyev
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/503948