On the Bloch Constant for -Quasiconformal Mappings in Several Complex Variables

Authors
Gamaliel, J. Y. Chen, Huai Hui
Citation
Y. Gamaliel, J. et Chen, Huai Hui, On the Bloch Constant for -Quasiconformal Mappings in Several Complex Variables, Acta mathematica Sinica. English series (Print) , 17(2), 2000, pp. 237-242
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
17
Issue
2
Year of publication
2000
Pages
237 - 242
Database
ACNP
SICI code
Abstract
We study the Bloch constant for K-quasiconformal holomorphic mappings of the unit ball B of C n into C n. The final result we prove in this paper is: If f is a K-quasiconformal holomorphic mapping of B into C n such that det(f'(0)) = 1, then f(B) contains a schlicht ball of radius at least (CnK)1n01(1*t)n1(1t)2exp{(n*1)t1t}dt, where C n > 1 is a constant depending on n only, and Cn10 as n approaches infinity.