Preprint Reference Dimension of quasicircles SMIRNOV , Stanislav
نویسنده
چکیده
We introduce canonical antisymmetric quasiconformal maps, which minimize the quasiconformality constant among maps sending the unit circle to a given quasicircle. As an application we prove Astala's conjecture that the Hausdorff dimension of a $k$-quasicircle is
منابع مشابه
Dimension of Quasicircles
We introduce canonical antisymmetric quasiconformal maps, which minimize the quasiconformality constant among maps sending the unit circle to a given quasicircle. As an application we prove Astala’s conjecture that the Hausdorff dimension of a k-quasicircle is at most 1 + k. A homeomorphism φ of planar domains is called k-quasiconformal, if it belongs locally to the Sobolev class W 1 2 and its ...
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