A class of Hausdorff-Berezin operators on the unit disc

Karapetyants, Alexey; Samko, Stefan; Zhu, Kehe

http://hdl.handle.net/10400.1/14184

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
Karapetyants2019_Article_AClassOfHausdorffBerezinOperat.pdf		336.33 KB	Adobe PDF	Download

Send Feedback

Authors

Karapetyants, Alexey

Samko, Stefan

Zhu, Kehe

Abstract(s)

We introduce and study a class of Hausdorff-Berezin operators on the unit disc based on Haar measure (that is, the Mobius invariant area measure). We discuss certain algebraic properties of these operators and obtain boundedness conditions for them. We also reformulate the obtained results in terms of ordinary area measure.