Continuity of the Mappings with Finite Distortion of the Sobolev Class  on Carnot Groups

Continuity of the Mappings with Finite Distortion of the Sobolev Class  on Carnot Groups

We prove the continuity of the mappings with finite distortion of the Sobolev class on Carnot groups and establish that these mappings are -differentiable almost everywhere and have the Luzin -property.

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Veröffentlicht in:Siberian mathematical journal 2023, Vol.64 (5), p.1091-1109
1. Verfasser: Vodopyanov, S. K.
Format: Artikel
Sprache:eng
Schlagworte:
Continuity
Distortion
Lie groups
Mathematics
Mathematics and Statistics
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Zusammenfassung:We prove the continuity of the mappings with finite distortion of the Sobolev class on Carnot groups and establish that these mappings are -differentiable almost everywhere and have the Luzin -property.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446623050038