Hausdorff measure of quasicircles

DOI10.1016/j.aim.2011.11.001zbMath1257.30018arXiv0912.3365OpenAlexW2059527898MaRDI QIDQ655380

Ignacio Uriarte-Tuero, István Prause, Xavier Tolsa

Publication date: 4 January 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3365

zbMATH Keywords

Hausdorff measurequasicirclequasiconformal mappings in the plane

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Quasiconformal mappings in the complex plane (30C62)

Related Items (3)

Asymptotic variance of the Beurling transform ⋮ Quasisymmetry and rectifiability of quasispheres ⋮ Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps

Cites Work

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• Astala's conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane
• Dimension of quasicircles
• Möglichst konforme Spielung an einer Jordankurve. (Utmost conformal refection at a Jordan curve)
• Area distortion of quasiconformal mappings
• Quasisymmetric distortion spectrum
• Hölder continuity of conformal maps with quasiconformal extension

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