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.
Uložené v:
| Vydané v: | Mathematica Montisnigri Ročník 56; s. 29 - 34 |
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| Hlavný autor: | |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
2023
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| ISSN: | 0354-2238, 2704-4963 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | 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 |