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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...