Exceptional families of measures on Carnot groups
Journal article, Peer reviewed
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https://hdl.handle.net/11250/3145080Utgivelsesdato
2023Metadata
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- Department of Mathematics [968]
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Originalversjon
Analysis and Geometry in Metric Spaces. 2023, 11 (1), 20220148. 10.1515/agms-2022-0148Sammendrag
We study the families of measures on Carnot groups that have vanishing p -module, which we call Mp -exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to be Mp -exceptional for p≥1 . We describe a wide class of Mp -exceptional intrinsic Lipschitz surfaces for p∈(0,∞) .