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Estimates on Bloch constants for planar harmonic mappings

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Abstract

The Bloch constants for quasiregular harmonic mappings and open planar harmonic mappings are considered. Better estimates are obtained. The results, presented in this paper, improve the one made by Chen et al. and Grigoryan.

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Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China

    MingSheng Liu

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  1. MingSheng Liu
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Correspondence to MingSheng Liu.

Additional information

This work was supported by the Research Foundation for Doctor Programme (Grant No. 20050574002) and the National Natural Science Foundation of China (Grant No. 10471048)

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Liu, M. Estimates on Bloch constants for planar harmonic mappings. Sci. China Ser. A-Math. 52, 87–93 (2009). https://doi.org/10.1007/s11425-008-0090-3

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  • DOI: https://doi.org/10.1007/s11425-008-0090-3

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