Bohr type inequality for certain integral operators and Fourier transform on shifted disks
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910121356951552 |
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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 Bohr type inequality for the Cesáro operator, Bernardi integral operator, and discrete Fourier transform acting on the class of bounded analytic functions defined on shifted disks \beas Ω_γ=\left\{z\in\mathbb{C}:\left|z+\fracγ{1-γ}\right|<\frac{1}{1-γ}\right\}\quad\text{for}\quadγ\in[0,1).\eeas |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01674 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bohr type inequality for certain integral operators and Fourier transform on shifted disks Allu, Vasudevarao Biswas, Raju Mandal, Rajib Complex Variables 30C45, 30C50, 40G05, 44A55 In this paper, we derive the sharp Bohr type inequality for the Cesáro operator, Bernardi integral operator, and discrete Fourier transform acting on the class of bounded analytic functions defined on shifted disks \beas Ω_γ=\left\{z\in\mathbb{C}:\left|z+\fracγ{1-γ}\right|<\frac{1}{1-γ}\right\}\quad\text{for}\quadγ\in[0,1).\eeas |
| title | Bohr type inequality for certain integral operators and Fourier transform on shifted disks |
| topic | Complex Variables 30C45, 30C50, 40G05, 44A55 |
| url | https://arxiv.org/abs/2411.01674 |