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

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

2005-09-13

arxiv.org/abs/math/0509289v1

Mathematics

Analysis of PDEs

56 pages

Scientific paper

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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