摘要:

We establish a reflection principle for the hyperbolic metric which has applications to geometric function theory. For instance, the reflection principle yields a number of monotonicity properties of the hyperbolic metric. The sharp form of Landau's Theorem is an immediate consequence of one of these monotonicity properties. The second main application is an interpretation of the reflection principle in terms of convexity relative to hyperbolic geometry.

ISSN:0278-1077    

DOI:10.1080/17476938708814225

出版商:Gordon and Breach Science Publishers    

年代:1987

数据来源: Taylor

摘要:

Suppose that the quasiconformal homeomorphism fof the complex plane fixes the point at infinity, is conformal in the exterior of the unit disk, and that the complex dilatation μ offsatisfiesfor some positive δ. It is shown that then fmaps the unit circle onto a rectifiable quasicircle.

ISSN:0278-1077    

DOI:10.1080/17476938708814226

出版商:Gordon and Breach Science Publishers    

年代:1987

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476938708814227

出版商:Gordon and Breach Science Publishers    

年代:1987

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476938708814228

出版商:Gordon and Breach Science Publishers    

年代:1987

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476938708814214

出版商:Gordon and Breach Science Publishers    

年代:1987

数据来源: Taylor