$q$-Berezin Range of Operators in Hardy Space
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909013974712320 |
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| author | Bhattacharya, Debarati Patra, Arnab |
| author_facet | Bhattacharya, Debarati Patra, Arnab |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02334 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $q$-Berezin Range of Operators in Hardy Space Bhattacharya, Debarati Patra, Arnab Functional Analysis 47B32, 47B38 (Primary) 47A05, 30H10 (Secondary) 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. |
| title | $q$-Berezin Range of Operators in Hardy Space |
| topic | Functional Analysis 47B32, 47B38 (Primary) 47A05, 30H10 (Secondary) |
| url | https://arxiv.org/abs/2601.02334 |