Hyperbolically Bi-Lipschitz Continuity for -Harmonic Quasiconformal Mappings

Xingdi Chen

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-13

Abstract:

We study the class of -harmonic -quasiconformal mappings with angular ranges. After building a differential equation for the hyperbolic metric of an angular range, we obtain the sharp bounds of their hyperbolically partial derivatives, determined by the quasiconformal constant . As an application we get their hyperbolically bi-Lipschitz continuity and their sharp hyperbolically bi-Lipschitz coefficients.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:569481

DOI: 10.1155/2012/569481

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