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

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dc.creatorUkhlov, A.
dc.creatorVodopyanov, S. K.
dc.date2007-09-04
dc.date2008-04-29
dc.date.accessioned2026-07-07T09:35:23Z
dc.date.available2026-07-07T09:35:23Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0709.0391
dc.identifierhttp://arxiv.org/abs/0709.0391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159816
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject30C65; 46E35
dc.titleSobolev spaces and mappings with bounded (P,Q)-distortion on Carnot groups
dc.typetext

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