Estimates on Bloch constants for planar harmonic mappings (Q5902313)

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 \textit{H. Chen, P. M. Gauthier} and \textit{W. Hengartner} [Proc. Am. Math. Soc. 128, No.11, 3231--3240 (2000; Zbl 0956.30012)] and \textit{A. Grigoryan} [Complex Var. Elliptic Equ. 51, No. 1, 81--87 (2006; Zbl 1114.30024)].