Surface Measures and Tightness of (r,p)-Capacities on Poisson Space |
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| Authors: | VI BogachevOV Pugachev M Röckner |
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| Institution: | a Department of Mechanics and Mathematics, Moscow State University, 119899, Moscow, Russiab Department of Mathematics, Bielefeld University, D-33615, Bielefeld, Germany |
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| Abstract: | We prove tightness of (r,p)-Sobolev capacities on configuration spaces equipped with Poisson measure. By using this result we construct surface measures on configuration spaces in the spirit of the Malliavin calculus. A related Gauss-Ostrogradskii formula is obtained. |
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| Keywords: | configuration space capacity tightness Sobolev classes surface measure Gauss-Ostrogradskii formula |
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