Vladimir Gutlyanskii and Toshiyuki Sugawa

On Lipschitz Continuity of Quasiconformal Mappings


We study the local growth of quasiconformal mappings in the plane. Estimates are given in terms of integral means of the pointwise angular dilatations. New sufficient conditions for a quasiconformal mapping f to be either Lipschitz or weakly Lipschitz continuous at a point are given.

submission: 22 October 2001

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