A SOBOLEV TYPE THEOREM IN VARIABLE EXPONENT LEBESGUE SPACES WITH WEIGHTS IN SIGMUND - BARI - STECHKIN CLASS

For the Riesz potential operator there are proved weighted estimates within the framework of weighted Lebesgue spaces with variable exponent. In case is a bounded do-main, the order potential is allowed to be variable as well. The weight functions are radial type functions «fixed» to a finite point...

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Bibliographic Details
Main Authors: Boris G. Vaculov, Natalia G. Samko, Stefan G. Samko
Format: Article
Language:Russian
Published: North-Caucasus Federal University 2022-10-01
Series:Современная наука и инновации
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Online Access:https://msi.elpub.ru/jour/article/view/1260
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