Lipschitz spaces and harmonic mappings
Abstract
In kamz the author proved that every quasiconformal harmonic mapping between two Jordan domains with C1,α, 0<α 1, boundary is bi-Lipschitz, providing that the domain is convex. In this paper we avoid the restriction of convexity. More precisely we prove: any quasiconformal harmonic mapping between two Jordan domains j, j=1,2, with Cj,α, j=1,2 boundary is bi-Lipschitz.
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