Quasisymmetric distortion spectrum

István Prause, Stanislav Smirnov

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We give improved bounds for the distortion of the Hausdorff dimension under quasisymmetric maps in terms of the dilatation of their quasiconformal extension. The sharpness of the estimates remains an open question and is shown to be closely related to the fine structure of harmonic measure.

Original languageEnglish
Pages (from-to)267-277
Number of pages11
JournalBulletin of the London Mathematical Society
Volume43
Issue number2
DOIs
Publication statusPublished - Apr 2011
Externally publishedYes

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