An approach to metric space valued Sobolev maps via weak* derivatives

TL;DR

This paper characterizes metric space valued Sobolev maps using weak* derivatives, providing a correction to a previous result by Haj{ extl}asz and Tyson, and advancing the understanding of Sobolev spaces in metric settings.

Contribution

It introduces a new characterization of Sobolev maps into metric spaces via weak* derivatives, correcting earlier inaccuracies.

Findings

Corrects a previous result by Haj{ extl}asz and Tyson.

Provides a new framework for metric space valued Sobolev maps.

Enhances understanding of weak* derivatives in this context.

Abstract

We give a characterization of metric space valued Sobolev maps in terms of weak* derivatives. This corrects a previous result by Haj{\l}asz and Tyson.