Hyperbolically Lipschitz continuity, area distortion and coefficient estimates for $(K,K′)$-quasiconformal harmonic mappings of unit disk

Deguang Zhong; Wenjun Yuan

doi:10.37863/umzh.v73i2.6041

Deguang Zhong Dep. Appl. Statistics, Guangdong Univ. Finance, Guangzhou, China
Wenjun Yuan Dep. Basic Course Teaching, Software Engineering Inst. Guangzhou, China

DOI: https://doi.org/10.37863/umzh.v73i2.6041

Keywords: (K, K′ )-quasiconformal mapping, hyperbolically Lipschitz continuous, area distortion, coefficient estimate

Abstract

UDC 517.51

We study the hyperbolically Lipschitz continuity, Euclidean and hyperbolic area distortion theorem, and coefficient estimate for the classes of $(K,K')$-quasiconformal harmonic mappings from the unit disk onto itself.

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