no. 5
Analyse et géométrie complexes, Analyse fonctionnelle
Generalized versions of Lipschitz conditions on the modulus of holomorphic functions
Ponnusamy, Saminathan1 ; Vijayakumar, Ramakrishnan1
1 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India
Comptes Rendus. Mathématique, Tome 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
Ponnusamy, Saminathan 1 ; Vijayakumar, Ramakrishnan 1

1 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India 
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Ponnusamy, Saminathan; Vijayakumar, Ramakrishnan. Generalized versions of Lipschitz conditions on the modulus of holomorphic functions. Comptes Rendus. Mathématique, Tome 359 (2021) no. 5, pp. 609-615. doi : 10.5802/crmath.200. http://www.numdam.org/articles/10.5802/crmath.200/

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