Astala's conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane
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Publication:617878
DOI10.1007/S11511-010-0048-5zbMath1211.30036arXiv0805.4711OpenAlexW2017964054WikidataQ123261057 ScholiaQ123261057MaRDI QIDQ617878
Eric T. Sawyer, Ignacio Uriarte-Tuero, Michael T. Lacey
Publication date: 14 January 2011
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.4711
Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15) Quasiconformal mappings in the complex plane (30C62)
Related Items (11)
Two-weight norm inequalities for potential type and maximal operators in a metric space ⋮ Quasiconformal maps, analytic capacity, and non linear potentials ⋮ Wavelet representation of singular integral operators ⋮ A Good-λ Lemma, Two Weight T1 Theorems Without Weak Boundedness, and a Two Weight Accretive Global Tb Theorem ⋮ On the Luzin \(N\)-property and the uncertainty principle for Sobolev mappings ⋮ Hausdorff measure of quasicircles ⋮ The two weight \(T1\) theorem for fractional Riesz transforms when one measure is supported on a curve ⋮ The perfect local $Tb$ Theorem and twisted Martingale transforms ⋮ Calderón‐Zygmund operators with non‐diagonal singularity ⋮ Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps ⋮ Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings
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