The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $\mathbb{c}^n$
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913022720606208 |
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| author | Allu, Vasudeva Rao Kumar, Rohit |
| author_facet | Allu, Vasudeva Rao Kumar, Rohit |
| contents | In this paper, we first define two classes of holomorphic mappings defined on the unit ball $B^n$ of n-dimensional complex space $\mathbb{C}^n$ and obtain the lower estimates for Bloch's constant for these classes. Also, we derive the Landau-Bloch type theorem for some subclasses of pluriharmonic mappings defined on the unit ball $B^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15913 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $\mathbb{c}^n$ Allu, Vasudeva Rao Kumar, Rohit Complex Variables 31C10, 30C50, 31A05, 32A18, 30C62, 30C45 In this paper, we first define two classes of holomorphic mappings defined on the unit ball $B^n$ of n-dimensional complex space $\mathbb{C}^n$ and obtain the lower estimates for Bloch's constant for these classes. Also, we derive the Landau-Bloch type theorem for some subclasses of pluriharmonic mappings defined on the unit ball $B^n$. |
| title | The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $\mathbb{c}^n$ |
| topic | Complex Variables 31C10, 30C50, 31A05, 32A18, 30C62, 30C45 |
| url | https://arxiv.org/abs/2308.15913 |