Mappings with finite distortion in l<inf>loc</inf><sup>p</sup>: modulus of continuity and compression of Hausdorff Measure

Albert Clop, David A. Herron

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

© 2014, Hebrew University of Jerusalem. We study mappings of finite distortion whose distortion functions belong to the Lebesgue space Llocp. We establish a local modulus of continuity estimate for the inverse of such a mapping. As an application, we describe the possible compression of Hausdorff measure under such mappings. We also exhibit examples that describe the extent to which our results are sharp.
Original languageEnglish
Pages (from-to)225-250
JournalIsrael Journal of Mathematics
Volume200
Issue number1
DOIs
Publication statusPublished - 18 Jun 2014

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