Weighted Hardy and Potential Operators in Morrey Spaces

We study the weighted p→q-boundedness of Hardy-type operators in Morrey spaces ℒp,λ(ℝn) (or ℒp,λ(ℝ+1) in the one-dimensional case) for a class of almost monotonic weights. The obtained results are applied to a similar weighted p→q-boundedness of the Riesz potential operator. The conditions on weigh...

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Bibliographic Details
Main Author: Natasha Samko
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/678171
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