Domains with growth conditions for the quasihyperbolic metric

2000 ◽  
Vol 82 (1) ◽  
pp. 149-173 ◽  
Author(s):  
Yasuhiro Gotoh
Keyword(s):  
Growth Conditions ◽  
Quasihyperbolic Metric ◽  
The Quasihyperbolic Metric

scholarly journals Bi-lipschicity of quasiconformal harmonic mappings in the plane

Filomat ◽  
2009 ◽  
Vol 23 (1) ◽  
pp. 85-89 ◽  
Author(s):  
Vesna Manojlovic
Keyword(s):  
Harmonic Mappings ◽  
Quasihyperbolic Metric ◽  
The Quasihyperbolic Metric

We show that quasiconformal harmonic mappings on the proper domains in R2 are bi-Lipschitz with respect to the quasihyperbolic metric. .

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