Generalized dimension estimates for images of porous sets under monotone Sobolev mappings

Koskela, Pekka; Zapadinskaya, Aleksandra

doi:10.1090/S0002-9939-2014-12371-9

Generalized dimension estimates for images of porous sets under monotone Sobolev mappings
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by Pekka Koskela and Aleksandra Zapadinskaya

Proc. Amer. Math. Soc. 143 (2015), 2033-2042

DOI: https://doi.org/10.1090/S0002-9939-2014-12371-9

Published electronically: December 4, 2014

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Abstract:

We give an essentially sharp estimate in terms of generalized Hausdorff measures for images of porous sets under monotone Sobolev mappings, satisfying suitable Orlicz-Sobolev conditions.

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