Distortion of Hausdorff measures under Orlicz-Sobolev maps

A comprehensive theory of the effect of Orlicz-Sobolev maps, between Euclidean spaces, on subsets with zero or finite Hausdorff measure is offered. Arbitrary Orlicz-Sobolev spaces embedded into the space of continuous function and Hausdorff measures built upon general gauge functions are included in...

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Bibliographic Details
Main Authors: Cianchi, A, Korobkov, M, Kristensen, J
Format: Journal article
Language:English
Published: European Mathematical Society 2024