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

A. Ukhlov, S. K. Vodopyanov

Research output: Working paper/PreprintPreprint

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Abstract

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.
Original languageEnglish GB
StatePublished - 2007

Publication series

NamearXiv preprint

Keywords

  • Mathematics - Complex Variables
  • Mathematics - Functional Analysis
  • 30C65
  • 46E35

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