Bilipschitz and quasiconformal rotation, stretching and multifractal spectra
classification
🧮 math.CV
math.CA
keywords
estimatesquasiconformalrotationmapsmultifractalsharpadditionbi-lipschitz
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We establish sharp bounds for simultaneous local rotation and H\"older-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.
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