$b$-coercive convolution equations in weighted function spaces and applications

We study the $b$-separability properties of elliptic convolution operators in weighted Besov spaces and establish sharp estimates for the resolvents of the convolution operators. As a result, it is shown that these operators are positive and, in addition, play the role of negative generators of anal...

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Bibliographic Details
Date:2017
Main Authors: Musaev, H. K., Shakhmurov, V. B., Мусаєв, Г. К., Шахмуров, В. Б.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1789
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal