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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
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
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
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https://www.mathnet.ru/eng/tvp2493https://doi.org/10.4213/tvp2493 https://www.mathnet.ru/eng/tvp/v53/i1/p178
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Abstract page: | 350 | Full-text PDF : | 154 | References: | 77 |
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