Iterates of holomorphic self-maps on pseudoconvex domains of finite and infinite type in $\mathbb C^n$

TL;DR

This paper extends the Wolff-Denjoy theorem to a broad class of pseudoconvex domains in complex n-space, including those of finite and infinite type, advancing understanding of holomorphic self-maps in complex analysis.

Contribution

It generalizes the Wolff-Denjoy theorem to encompass a wide range of pseudoconvex domains of both finite and infinite type in complex n-space.

Findings

Proves the Wolff-Denjoy-type theorem for large classes of pseudoconvex domains

Includes domains of finite and infinite type in the analysis

Enhances understanding of holomorphic self-maps in complex analysis

Abstract

We prove here the Wolff-Denjoy-type theorem for a very large class of pseudoconvex domains in $\mathbb C^n$ that may contain many classes of pseudoconvex domains of finite type and infinite type.