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math.FA2023
Weak differentiability of metric space valued Sobolev maps
Paul Creutz, Nikita Evseev
We show that Sobolev maps with values in a dual Banach space can be characterized in terms of weak derivatives in a weak* sense. Since every metric space embeds isometrically into…
math.FA2021★ 1 cited
An approach to metric space valued Sobolev maps via weak* derivatives
Paul Creutz, Nikita Evseev
We give a characterization of metric space valued Sobolev maps in terms of weak* derivatives. This corrects a previous result by Hajłasz and Tyson.