Algebra of Bergman Operators with Automorphic Coefficients and Parabolic Group of Shifts

• Date: 2001
• Main Authors: Mozel’, V. A., Chernetskii, V. A., Мозель, В. А., Чернецкий, В. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4340
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.983 We study the algebra of operators with the Bergman kernel extended by isometric weighted shift operators. The coefficients of the algebra are assumed to be automorphic with respect to a cyclic parabolic group of fractional-linear transformations of a unit disk and continuous on the Riem...