Generalized versions of Lipschitz conditions on the modulus of holomorphic functions

Saminathan Ponnusamy; Ramakrishnan Vijayakumar

doi:10.5802/crmath.200

Analyse et géométrie complexes, Analyse fonctionnelle

Generalized versions of Lipschitz conditions on the modulus of holomorphic functions

Saminathan Ponnusamy ¹ ; Ramakrishnan Vijayakumar ¹

¹ Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India

Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 609-615.

Résumé

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.

Reçu le : 2020-09-15
Révisé le : 2021-02-09
Accepté le : 2021-03-22
Publié le : 2021-07-13

DOI : 10.5802/crmath.200

Classification : 30C80, 30H05, 32A10, 30G30, 46B20, 46E15, 46E40

Affiliations des auteurs :

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},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {5},
     year = {2021},
     doi = {10.5802/crmath.200},
     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/

Bibliographie
Cité par

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