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Estimates on Bloch constants for planar harmonic mappings. (English) Zbl 1196.30020
The author gives estimates of the Bloch constants for quasiregular harmonic mappings and open planar harmonic mappings. The results, presented in the paper, improve the ones made by {\it H. Chen, P. M. Gauthier} and {\it W. Hengartner} [Proc. Am. Math. Soc. 128, No.11, 3231--3240 (2000; Zbl 0956.30012)] and {\it A. Grigoryan} [Complex Var. Elliptic Equ. 51, No. 1, 81--87 (2006; Zbl 1114.30024)].

MSC:
30C62Quasiconformal mappings in the plane
31A05Harmonic, subharmonic, superharmonic functions (two-dimensional)
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References:
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