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. 
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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