2007•Journal of Huaqiao UniversityRequires access

Hyperbolic Area Distortion under Quasiconformal Mappings

Xinzhong Huang

Abstract

Two-dimensional hyperbolic area distortion under a class of quasiconformal mappings in the unit disk is estimated.As application,the fact that any bounded hyperbolic area set under these mappings can′t be exploded has been proved.Our results extend some previous results of CHEN Xing-di.At last a sort of non-explodable harmonic quasiconformal mappings is obtained.

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Key concepts: Distortion (music), Mathematics, Quasiconformal mapping, Bounded function, sort, Set (abstract data type), Class (philosophy), Unit disk