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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| Veröffentlicht in: | Mathematica Montisnigri Jg. 56; S. 29 - 34 |
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| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
2023
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| ISSN: | 0354-2238, 2704-4963 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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 |