$q$-Berezin Range of Operators in Hardy Space

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Debarati Bhattacharya, Arnab Patra
Cited by: 0

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.

Fields of Study & Subjects

Approximation Theory and Sequence Spaces Holomorphic and Operator Theory Advanced Harmonic Analysis Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
5 January 2026
Document type
Preprint