Title of article :
Surface Measures and Tightness of (r,p)-Capacities on Poisson Space
Author/Authors :
Bogachev، نويسنده , , V.I. and Pugachev، نويسنده , , O.V. and Rِckner، نويسنده , , M.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
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.
Keywords :
configuration space , Capacity , Tightness , surface measure , Gauss–Ostrogradskii formula. , Sobolev classes
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis
