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Teoriya Veroyatnostei i ee Primeneniya, 2008, Volume 53, Issue 1, Pages 178–189
DOI: https://doi.org/10.4213/tvp2493 (Mi tvp2493) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

Capacities and Surface Measures in Locally Convex Spaces

O. V. Pugachev

N. E. Bauman Moscow State Technical University
Full-text PDF (1385 kB) Citations (5)
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DOI: https://doi.org/10.4213/tvp2493
Abstract: We prove tightness of capacities generated by Sobolev classes of any order in a wide class of locally convex spaces. These capacities are applied in constructing surface measures on level sets of Sobolev and local Sobolev functions.
Keywords: differentiable measure, Sobolev classes in locally convex spaces, tightness of capacity, surface measure, Gauss–Ostrogradskii formula, local Sobolev functions.
Received: 13.06.2007
English version:
Theory of Probability and its Applications, 2009, Volume 53, Issue 1, Pages 179–190
DOI: https://doi.org/10.1137/S0040585X9798347X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Pugachev, “Capacities and Surface Measures in Locally Convex Spaces”, Teor. Veroyatnost. i Primenen., 53:1 (2008), 178–189; Theory Probab. Appl., 53:1 (2009), 179–190
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v53/i1/p178
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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