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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.10091 |
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| _version_ | 1866916396174147584 |
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| author | Jia, Shanshan Liu, Ming-Sheng Ponnusamy, Saminathan |
| author_facet | Jia, Shanshan Liu, Ming-Sheng Ponnusamy, Saminathan |
| contents | Our first aim of this article is to establish several new versions of refined Bohr inequalities for bounded analytic functions in the unit disk involving Schwarz functions. Secondly, %as applications of these results, we obtain several new multidimensional analogues of the refined Bohr inequalities for bounded holomorphic mappings on the unit ball in a complex Banach space involving higher dimensional Schwarz mappings. All the results are proved to be sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10091 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multidimensional analogues of the refined versions of Bohr inequalities involving Schwarz mappings Jia, Shanshan Liu, Ming-Sheng Ponnusamy, Saminathan Complex Variables Primary: 30A10, 30C45, 30C62, Secondary: 30C75 Our first aim of this article is to establish several new versions of refined Bohr inequalities for bounded analytic functions in the unit disk involving Schwarz functions. Secondly, %as applications of these results, we obtain several new multidimensional analogues of the refined Bohr inequalities for bounded holomorphic mappings on the unit ball in a complex Banach space involving higher dimensional Schwarz mappings. All the results are proved to be sharp. |
| title | Multidimensional analogues of the refined versions of Bohr inequalities involving Schwarz mappings |
| topic | Complex Variables Primary: 30A10, 30C45, 30C62, Secondary: 30C75 |
| url | https://arxiv.org/abs/2409.10091 |