Generalized dimension distortion under planar Sobolev homeomorphisms

Koskela, Pekka; Zapadinskaya, Aleksandra; Zürcher, Thomas

doi:10.1090/S0002-9939-09-09948-1

Generalized dimension distortion under planar Sobolev homeomorphisms
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by Pekka Koskela, Aleksandra Zapadinskaya and Thomas Zürcher PDF

Proc. Amer. Math. Soc. 137 (2009), 3815-3821 Request permission

Abstract:

We prove essentially sharp dimension distortion estimates for planar Sobolev-Orlicz homeomorphisms.

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