Surface measures and tightness of (r,p)-capacities on Poisson space
Bogachev VI, Pugachev OV, Röckner M (2002)
Journal of Functional Analysis 196(1): 61-86.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Bogachev, Vladimir I.;
Pugachev, OV;
Röckner, MichaelUniBi
Einrichtung
Abstract / Bemerkung
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. (C) 2002 Elsevier Science (USA).
Stichworte
measure;
configuration space;
Gauss-Ostrogradskii formula;
Sobolev classes;
surface;
capacity;
tightness
Erscheinungsjahr
2002
Zeitschriftentitel
Journal of Functional Analysis
Band
196
Ausgabe
1
Seite(n)
61-86
ISSN
0022-1236
Page URI
https://pub.uni-bielefeld.de/record/1613006
Zitieren
Bogachev VI, Pugachev OV, Röckner M. Surface measures and tightness of (r,p)-capacities on Poisson space. Journal of Functional Analysis. 2002;196(1):61-86.
Bogachev, V. I., Pugachev, O. V., & Röckner, M. (2002). Surface measures and tightness of (r,p)-capacities on Poisson space. Journal of Functional Analysis, 196(1), 61-86. https://doi.org/10.1006/jfan.2002.3962
Bogachev, Vladimir I., Pugachev, OV, and Röckner, Michael. 2002. “Surface measures and tightness of (r,p)-capacities on Poisson space”. Journal of Functional Analysis 196 (1): 61-86.
Bogachev, V. I., Pugachev, O. V., and Röckner, M. (2002). Surface measures and tightness of (r,p)-capacities on Poisson space. Journal of Functional Analysis 196, 61-86.
Bogachev, V.I., Pugachev, O.V., & Röckner, M., 2002. Surface measures and tightness of (r,p)-capacities on Poisson space. Journal of Functional Analysis, 196(1), p 61-86.
V.I. Bogachev, O.V. Pugachev, and M. Röckner, “Surface measures and tightness of (r,p)-capacities on Poisson space”, Journal of Functional Analysis, vol. 196, 2002, pp. 61-86.
Bogachev, V.I., Pugachev, O.V., Röckner, M.: Surface measures and tightness of (r,p)-capacities on Poisson space. Journal of Functional Analysis. 196, 61-86 (2002).
Bogachev, Vladimir I., Pugachev, OV, and Röckner, Michael. “Surface measures and tightness of (r,p)-capacities on Poisson space”. Journal of Functional Analysis 196.1 (2002): 61-86.
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