# A non-Archimedean Ohsawa-Takegoshi extension theorem

## TL;DR

This paper establishes a non-Archimedean version of the Ohsawa-Takegoshi extension theorem and applies it to develop an analogue of Demailly's regularization theorem for quasisubharmonic functions on the Berkovich unit disc.

## Contribution

It introduces a non-Archimedean extension theorem and extends regularization techniques to the Berkovich setting, bridging complex analysis and non-Archimedean geometry.

## Key findings

- Proved a non-Archimedean Ohsawa-Takegoshi extension theorem
- Established a non-Archimedean analogue of Demailly's regularization theorem
- Applied the results to quasisubharmonic functions on the Berkovich unit disc

## Abstract

We prove an Ohsawa-Takegoshi-type extension theorem on the Berkovich closed unit disc over a complete non-Archimedean field. As an application, we establish a non-Archimedean analogue of Demailly's regularization theorem for quasisubharmonic functions on the Berkovich unit disc.