The maximal operator in weighted variable spaces Lp(⋅)

We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane. The weight function may belong to a certain version of a general Muckenhoupt-type condition, which is narrower than the expec...

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Bibliographic Details
Main Authors: Vakhtang Kokilashvili, Natasha Samko, Stefan Samko
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2007/914143