A remark on the extension of $L^{2}$ holomorphic functions

TL;DR

This paper addresses a question about extending $L^{2}$ holomorphic functions, providing insights into the conditions or methods for such extensions in complex analysis.

Contribution

It offers a new perspective or result on the extension problem of $L^{2}$ holomorphic functions, responding to a question posed by Ohsawa.

Findings

Provides a partial answer to Ohsawa's extension question

Identifies conditions under which $L^{2}$ holomorphic functions can be extended

Contributes to the theory of $L^{2}$ extension in complex analysis

Abstract

In this note, we answer a question on the extension of $L^{2}$ holomorphic functions posed by Ohsawa.