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Conference on Complex Analysis and Mathematical Physics, dedicated to the 70th birthday of A. G. Sergeev
March 21, 2019 18:50, Moscow, Steklov Mathematical Institute, Gubkina St., 8


On a class of Hausdorff–Berezin operators on the unit disc

Alexey Karapetyants



Abstract: We introduce and study the class of Hausdorff-Berezin operators on the unit disc in the Lebesgue $p$-spaces with Haar measure. We discuss certain algebraic properties of such operators, and also give sufficient, and, in some cases necessary boundedness conditions for such operators. Joint work with Profs. K. Zhu and S. Samko.

Language: English


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