On Value Distributions for Quasimeromorphic Mappings on $\mathbb H$-type Carnot Groups

Irina Markina; Sergey Vodopyanov

arxiv: math/0509289 · v1 · submitted 2005-09-13 · 🧮 math.AP · math.MG

On Value Distributions for Quasimeromorphic Mappings on mathbb H-type Carnot Groups

Irina Markina , Sergey Vodopyanov This is my paper

classification 🧮 math.AP math.MG

keywords groupsmappingsquasimeromorphictypecarnotmathbbvalueahlfors

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In the present paper we define quasimeromorphic mappings on homogeneous groups and study their properties. We prove an analogue of results of L. Ahlfors, R. Nevanlinna and S. Rickman, concerning the value distribution for quasimeromorphic mappings on $\mathbb H$-type Carnot groups for parabolic and hyperbolic type domains.

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On Value Distributions for Quasimeromorphic Mappings on mathbb H-type Carnot Groups

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