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Surface Measures and Tightness of ( r, p)-Capacities on Poisson Space
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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| Published in: | Journal of functional analysis 2002-12, Vol.196 (1), p.61-86 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c326t-522feab23d0d66ae97c53e2e172874c6444c8468a12a4f603f0e9b49d1854def3 |
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| cites | cdi_FETCH-LOGICAL-c326t-522feab23d0d66ae97c53e2e172874c6444c8468a12a4f603f0e9b49d1854def3 |
| container_end_page | 86 |
| container_issue | 1 |
| container_start_page | 61 |
| container_title | Journal of functional analysis |
| container_volume | 196 |
| creator | Bogachev, V.I. Pugachev, O.V. Röckner, M. |
| description | 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. |
| doi_str_mv | 10.1006/jfan.2002.3962 |
| format | article |
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| fulltext | fulltext |
| identifier | ISSN: 0022-1236 |
| ispartof | Journal of functional analysis, 2002-12, Vol.196 (1), p.61-86 |
| issn | 0022-1236 1096-0783 |
| language | eng |
| recordid | cdi_crossref_primary_10_1006_jfan_2002_3962 |
| source | ScienceDirect Journals |
| subjects | capacity configuration space Gauss–Ostrogradskii formula Sobolev classes surface measure tightness |
| title | Surface Measures and Tightness of ( r, p)-Capacities on Poisson Space |
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