Generalized versions of Lipschitz conditions on the modulus of holomorphic functions

Abstract

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

7 pages; To appear in Comptes Rendus Mathematique - Académie des sciences Paris (2021)