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Comptes Rendus. Mathématique
Complex analysis and geometry, Functional analysis
Generalized versions of Lipschitz conditions on the modulus of holomorphic functions
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 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
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     title = {Generalized versions of {Lipschitz} conditions on the modulus of holomorphic functions},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {609--615},
     publisher = {Acad\'emie des sciences, Paris},
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     year = {2021},
     doi = {10.5802/crmath.200},
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}
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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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