Sobolev spaces and mappings with bounded (P,Q)-distortion on Carnot groups

Details Sobolev spaces and mappings with bounded (P,Q)-distortion on Carnot groups Sobolev spaces and mappings with bounded (P,Q)-distortion on Carnot groups

2007-09-04

arxiv.org/abs/0709.0391v2

Mathematics

Complex Variables

Scientific paper

We study mappings with bounded (p,q)-distortion associated to Sobolev spaces on Carnot groups. Mappings of such type have applications to the Sobolev type embedding theory and classification of manifolds. For this class of mappings, we obtain estimates of linear distortion, and a geometrical description. We prove also Liouville type theorems and give some sufficient conditions for removability of sets.

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