Improved Bohr-type Inequalities for the Cesaro Operator
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913022806589440 |
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| author | Allu, Vasudevarao Biswas, Raju Mandal, Rajib |
| author_facet | Allu, Vasudevarao Biswas, Raju Mandal, Rajib |
| contents | In this paper, we derive the sharp improved versions of Bohr-type inequalities for the Cesáro operator acting on the class of bounded analytic functions defined on the unit disk $\D=\left\{z\in\C:\left|z\right|<1\right\}$. In order to achieve these results, we utilize the principle of substituting the initial coefficients of the majorant series with the absolute values of the Cesáro operator associated with a bounded analytic function defined on $\D$ and its derivative, as well as for the Schwarz function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Improved Bohr-type Inequalities for the Cesaro Operator Allu, Vasudevarao Biswas, Raju Mandal, Rajib Complex Variables 30C45, 30C50, 40G05, 44A55 In this paper, we derive the sharp improved versions of Bohr-type inequalities for the Cesáro operator acting on the class of bounded analytic functions defined on the unit disk $\D=\left\{z\in\C:\left|z\right|<1\right\}$. In order to achieve these results, we utilize the principle of substituting the initial coefficients of the majorant series with the absolute values of the Cesáro operator associated with a bounded analytic function defined on $\D$ and its derivative, as well as for the Schwarz function. |
| title | Improved Bohr-type Inequalities for the Cesaro Operator |
| topic | Complex Variables 30C45, 30C50, 40G05, 44A55 |
| url | https://arxiv.org/abs/2411.01437 |