On a Banach algebra generated by the Bergman operator, constant coefficients, and finitely generated groups of shifts

We study a Banach algebra generated by the Bergman operator, constant coefficients, and shifts formed by finitely generated commutative groups of hyperbolic transformations of the unit disk acting in the Lebesgue space $L_p, p > 1$, and obtain an effective criterion for the operators from the...

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Bibliographic Details
Date:2017
Main Authors: Mozel’, V. A., Мозель, В. А.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1799
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal