-Berezin Range of Operators in Hardy Space
arXiv:2601.02334
Abstract
This paper investigates the concept of the -Berezin range and -Berezin number of bounded linear operators acting on Hardy space. We obtain the -Berezin range of some classes of operators on Hardy space. In addition, the convexity of the -Berezin range is explored for finite-rank, diagonal, multiplication, weighted shift, and certain composition operators.