Characterization of Riesz and Bessel potentials on variable Lebesgue spaces

Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that the exponent satisfies natural regularity con...

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Bibliographic Details
Main Authors: Alexandre Almeida, Stefan Samko
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2006/610535
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