The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $c^n$

Abstract

In this paper, we first define two classes of holomorphic mappings defined on the unit ball $B^n$ of n-dimensional complex space ${\mathbb{C}}^n$ and obtain the lower estimates for Bloch's constant for these classes. Also, we derive the Landau-Bloch type theorem for some subclasses of pluriharmonic mappings defined on the unit ball $B^n$.

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