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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2007-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2007/914143 |