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arXiv · 2601.02334

$q$-Berezin Range of Operators in Hardy Space

Debarati Bhattacharya·Arnab Patra
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Abstract

This paper investigates the concept of the $q$-Berezin range and $q$-Berezin number of bounded linear operators acting on Hardy space. We obtain the $q$-Berezin range of some classes of operators on Hardy space. In addition, the convexity of the $q$-Berezin range is explored for finite-rank, diagonal, multiplication, weighted shift, and certain composition operators.

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BibTeXRIS

Debarati Bhattacharya, Arnab Patra. 2026-01-05. $q$-Berezin Range of Operators in Hardy Space. https://arxiv.org/abs/2601.02334

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