$q$-Berezin Range of Operators in Hardy Space
Functional Analysis
2026-05-06 v2
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.
Cite
@article{arxiv.2601.02334,
title = {$q$-Berezin Range of Operators in Hardy Space},
author = {Debarati Bhattacharya and Arnab Patra},
journal= {arXiv preprint arXiv:2601.02334},
year = {2026}
}