An $L^2$ Hartogs-type extension theorem for unbounded domains

TL;DR

This paper establishes an $L^2$ extension theorem of Hartogs type applicable to unbounded domains, expanding the scope of extension results in complex analysis.

Contribution

It introduces an $L^2$ Hartogs-type extension theorem specifically designed for unbounded domains, a novel extension of classical results.

Findings

Proves an $L^2$ extension theorem for unbounded domains

Extends classical Hartogs extension results to unbounded settings

Provides a new tool for complex analysis in unbounded regions

Abstract

In this note, we prove an $L^2$ Hartogs-type extension theorem for unbounded domains.