# Alexey Karapetyants: A class of Hausdorff - Berezin operators on the unit disc

**Time: **
Wed 2019-05-22 13.15 - 14.15

**Lecturer: **
Alexey Karapetyants (Southern Federal University,Rostov-on-Don, Russia)

**Location: ** Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University

*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 ].*