Generalization of Lohwater-Pommerenke's theorem
In this paper, as an application of Zalcman's lemma in ℂn, we give a sufficient condition for normality of holomorphic functions of several complex variables, which generalizes previous known one-dimensional criterion of A.J. Lohwater and Ch. Pommerenke.
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| Published in: | Mathematica Montisnigri Vol. 56; pp. 29 - 34 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2023
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| ISSN: | 0354-2238, 2704-4963 |
| Online Access: | Get full text |
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| Summary: | In this paper, as an application of Zalcman's lemma in ℂn, we give a sufficient condition for normality of holomorphic functions of several complex variables, which generalizes previous known one-dimensional criterion of A.J. Lohwater and Ch. Pommerenke. |
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| ISSN: | 0354-2238 2704-4963 |
| DOI: | 10.20948/mathmontis-2023-56-3 |