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Generalized dimension distortion under planar Sobolev homeomorphisms

Thomas ZürcherThomas ZürcherAleksandra ZapadinskayaPekka Koskela

subject

Distortion (mathematics)Sobolev spaceMathematics::Functional AnalysisMathematics::Dynamical SystemsPlanarDimension (vector space)Applied MathematicsGeneral MathematicsMathematical analysisMathematics::Classical Analysis and ODEsMathematics::Analysis of PDEsMathematics::General TopologyMathematics

description

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

yearjournalcountryeditionlanguage
2009-11-01Proceedings of the American Mathematical Society
https://doi.org/10.1090/s0002-9939-09-09948-1