Bilipschitz and quasiconformal rotation, stretching and multifractal spectra

Kari Astala, Tadeusz Iwaniec, István Prause, Eero Saksman

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We establish sharp bounds for simultaneous local rotation and Hölder-distortion of planar quasiconformal maps. In addition, we give sharp estimates for the corresponding joint quasiconformal multifractal spectrum, based on new estimates for Burkholder functionals with complex parameters. As a consequence, we obtain optimal rotation estimates also for bi-Lipschitz maps.

Original languageEnglish (US)
Pages (from-to)113-154
Number of pages42
JournalPublications Mathematiques de l'Institut des Hautes Etudes Scientifiques
Volume121
Issue number1
DOIs
StatePublished - Jun 27 2015

ASJC Scopus subject areas

  • Mathematics(all)

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