Quasiconformal mapping (source code)

= Quasiconformal mapping
{title2=$|\partial_{\bar z}f|\leq k|\partial_zf|,\quad k<1$}
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= Quasiconformal map
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= Quasiconformality
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An <orientation>-preserving <homeomorphism> with locally $L^2$ <weak derivatives> and essentially bounded infinitesimal distortion. In <holomorphic coordinates>, its <Beltrami coefficient> satisfies $\|\mu\|_\infty<1$, and the <maximal dilatation> is $(1+\|\mu\|_\infty)/(1-\|\mu\|_\infty)$.