Weighted Hardy Operators in Complementary Morrey Spaces

We study the weighted p→q-boundedness of the multidimensional weighted Hardy-type operators Hwα and ℋwα with radial type weight w=w(|x|), in the generalized complementary Morrey spaces ℒ∁{0}p,ψ(ℝn) defined by an almost increasing function ψ=ψ(r). We prove a theorem which provides conditions, in term...

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Bibliographic Details
Main Authors: Dag Lukkassen, Lars-Erik Persson, Stefan Samko
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/283285