Trace of BV-functions on irregular subsets

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dc.creatorBurago, Yuri
dc.creatorKosovskiy, Nikolay
dc.date2009-03-26
dc.date.accessioned2026-07-07T12:57:05Z
dc.date.available2026-07-07T12:57:05Z
dc.descriptionIn the paper, the basic results on boundary trace of the book "Sobolev spaces" by V. Maz'ya are generalized to a wider class of regions. In the book, boundary trace of BV-functions is defined for regions with finite perimeter and the main results were obtained under the assumption that normals in the sense of Federer exist almost everywhere on the boundary. Instead of that, we investigate trace of BV functions on any countably (n-1)-rectifiable set.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0903.4608
dc.identifierhttp://arxiv.org/abs/0903.4608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224808
dc.subjectFunctional Analysis
dc.subject46-E35
dc.titleTrace of BV-functions on irregular subsets
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