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PLANAR SOBOLEV HOMEOMORPHISMS AND HAUSDORFF DIMENSION DISTORTION

By Tapio Rajala and Communicated Mario Bonk

Abstract

Abstract. We investigate how planar Sobolev-Orlicz homeomorphisms map sets of Hausdorff dimension less than two. With the correct gauge functions the generalized Hausdorff measures of the image sets are shown to be zero. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.1989
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