Geodesic
Capacities and Surface Measures in Locally Convex Spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 1, pp. 178-189
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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. 
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O. V. Pugachev. Capacities and Surface Measures in Locally Convex Spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 1, pp. 178-189. http://geodesic.mathdoc.fr/item/TVP_2008_53_1_a12/

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