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

Abstract

We give a characterization of metric space valued Sobolev maps in terms of weak* derivatives. This corrects a previous result by Hajłasz and Tyson.

17 pages

References in corpus (3)

• Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
• Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
• Sobolev mappings: Lipschitz density is not an isometric invariant of the target