Inner functions on a general type of domains

TL;DR

This paper demonstrates the existence of inner functions on a broader class of domains than previously known, including some finite type domains, expanding the understanding of complex analysis in several variables.

Contribution

The paper extends the existence results of inner functions to more general domains, beyond strongly pseudoconvex ones, including certain finite type domains.

Findings

Inner functions exist on a wider class of domains.

Extension of known results from strongly pseudoconvex to more general domains.

Includes some finite type domains in the new class.

Abstract

It is known that inner functions exist on strongly pseudoconvex domains. In this paper we will show that they exist on a more general type of domains, including some domains of finite type.