Comptes Rendus
Analyse et géométrie complexes, Analyse fonctionnelle
Generalized versions of Lipschitz conditions on the modulus of holomorphic functions
Saminathan Ponnusamy1 ; Ramakrishnan Vijayakumar1
1 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India
Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 609-615.

In this paper, we establish Lipschitz conditions for the norm of holomorphic mappings between the unit ball 𝔹 n in ℂ n and X, a complex normed space. This extends the work of Djordjević and Pavlović.

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DOI : 10.5802/crmath.200
Classification : 30C80, 30H05, 32A10, 30G30, 46B20, 46E15, 46E40
Saminathan Ponnusamy 1 ; Ramakrishnan Vijayakumar 1

1 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     author = {Saminathan Ponnusamy and Ramakrishnan Vijayakumar},
     title = {Generalized versions of {Lipschitz} conditions on the modulus of holomorphic functions},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {609--615},
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     year = {2021},
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     language = {en},
}
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Saminathan Ponnusamy; Ramakrishnan Vijayakumar. Generalized versions of Lipschitz conditions on the modulus of holomorphic functions. Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 609-615. doi : 10.5802/crmath.200. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.200/

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