| Affiliation: | Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, People's Republic of China ; Département de mathématiques et de statistique, Université de Montréal, Montréal, Québec, H3C 3J7, Canada ; Département de mathématiques, Université Laval, Québec, G1K 7P4, Canada |
| Abstract: | We give a lower estimate for the Bloch constant for planar harmonic mappings which are quasiregular and for those which are open. The latter includes the classical Bloch theorem for holomorphic functions as a special case. Also, for bounded planar harmonic mappings, we obtain results similar to a theorem of Landau on bounded holomorphic functions. |
