科研之友
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摘要
In this article we study a class of harmonic quasiconformal mappings with strongly hyperbolically convex ranges. After establishing a differential inequality for strongly hyperbolically convex domains, we show that their hyperbolically partial derivatives have explicit bounds determined by the constant of quasiconformality. As an application we show that they are hyperbolically Lipschitz with explicit coefficients given by the constant of quasiconformality.
