Singular integrals and potentials in some Banach function spaces with variable exponent

We introduce a new Banach function space - a Lorentz type space with variable exponent. In this space the boundedness of singular integral and potential type operators is established, including the weighted case. The variable exponent p(t) is assumed to satisfy the logarithmic Dini condition and the...

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Bibliographic Details
Main Authors: Vakhtang Kokilashvili, Stefan Samko
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2003/932158
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