Generalized versions of Lipschitz conditions on the modulus of holomorphic functions
Complex Variables
2021-03-29 v1
Abstract
In this paper, we establish Lipschitz conditions for the norm of holomorphic mappings between the unit ball in and a complex normed space. This extends the work of Djordjevi\'{c} and Pavlovi\'{c}.
Cite
@article{arxiv.2103.14281,
title = {Generalized versions of Lipschitz conditions on the modulus of holomorphic functions},
author = {Saminathan Ponnusamy and Ramakrishnan Vijayakumar},
journal= {arXiv preprint arXiv:2103.14281},
year = {2021}
}
Comments
7 pages; To appear in Comptes Rendus Mathematique - Acad\'{e}mie des sciences Paris (2021)