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Matematicheskie Zametki, 1998, Volume 63, Issue 1, Pages 106–114
DOI: https://doi.org/10.4213/mzm1252 (Mi mzm1252) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Surface measures in infinite-dimensional spaces

O. V. Pugachev

M. V. Lomonosov Moscow State University
Full-text PDF (215 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm1252
Abstract: We construct surface measures for surfaces of codimension n⩾1 in Banach spaces, and in a wide class of locally convex spaces. It is assumed that the determining function has a continuous derivative along a subspace.
Received: 02.07.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 1, Pages 94–101
DOI: https://doi.org/10.1007/BF02316147
Bibliographic databases:
UDC: 517
Language: Russian
Citation: O. V. Pugachev, “Surface measures in infinite-dimensional spaces”, Mat. Zametki, 63:1 (1998), 106–114; Math. Notes, 63:1 (1998), 94–101
Citation in format AMSBIB
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\jour Math. Notes
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\pages 94--101
\crossref{https://doi.org/10.1007/BF02316147}
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  • https://doi.org/10.4213/mzm1252
  • https://www.mathnet.ru/eng/mzm/v63/i1/p106
    • This publication is cited in the following 6 articles:
    1. Da Prato G., Debussche A., “An integral inequality for the invariant measure of a stochastic reaction?diffusion equation”, J. Evol. Equ., 17:1, SI (2017), 197–214  crossref  mathscinet  zmath  isi  scopus
    2. Da Prato G., Debussche A., “Estimate for $P_{t}D$ for the stochastic Burgers equation”, Ann. Inst. Henri Poincare-Probab. Stat., 52:3 (2016), 1248–1258  crossref  mathscinet  zmath  isi  scopus
    3. Bogachev V.I., Malofeev I.I., “Surface Measures Generated by Differentiable Measures”, Potential Anal., 44:4 (2016), 767–792  crossref  mathscinet  zmath  isi  elib  scopus
    4. Telyatnikov, IV, “Smolyanov-Weizsacker surface measures generated by diffusions on the set of trajectories in Riemannian manifolds”, Infinite Dimensional Analysis Quantum Probability and Related Topics, 11:1 (2008), 21  crossref  mathscinet  zmath  isi  scopus  scopus
    5. Bogachev, VI, “Surface measures and tightness of (r,p)-capacities on Poisson space”, Journal of Functional Analysis, 196:1 (2002), 61  crossref  mathscinet  zmath  isi  scopus  scopus
    6. O. V. Pugachev, “Construction of non-Gaussian surface measures by the Malliavin method”, Math. Notes, 65:3 (1999), 315–325  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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