Geodesic
Capacities and Surface Measures in Locally Convex Spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 1, pp. 178-189

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TVP_2008_53_1_a12,
     author = {O. V. Pugachev},
     title = {Capacities and {Surface} {Measures} in {Locally} {Convex} {Spaces}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {178--189},
     publisher = {mathdoc},
     volume = {53},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2008_53_1_a12/}
}
TY  - JOUR
AU  - O. V. Pugachev
TI  - Capacities and Surface Measures in Locally Convex Spaces
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2008
SP  - 178
EP  - 189
VL  - 53
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TVP_2008_53_1_a12/
LA  - ru
ID  - TVP_2008_53_1_a12
ER  - 
%0 Journal Article
%A O. V. Pugachev
%T Capacities and Surface Measures in Locally Convex Spaces
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2008
%P 178-189
%V 53
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TVP_2008_53_1_a12/
%G ru
%F TVP_2008_53_1_a12
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/