Holomorphic mappings between domains in $\mbb C^2$

TL;DR

This paper proves a new extension theorem for holomorphic mappings between domains in complex two-dimensional space, based solely on local conditions, advancing understanding of complex mappings.

Contribution

It introduces a purely local hypothesis-based extension theorem for holomorphic mappings in a72-dimensional complex domains.

Findings

Extension theorem established under local hypotheses

Applicable to mappings between complex domains in a72

Advances in understanding holomorphic mappings

Abstract

An extension theorem for holomorphic mappings between two domains in $\mathbb C^2$ is proved under purely local hypotheses.