Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoriya Veroyatnostei i ee Primeneniya, 2008, Volume 53, Issue 1, Pages 178–189
DOI: https://doi.org/10.4213/tvp2493 (Mi tvp2493) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

Capacities and Surface Measures in Locally Convex Spaces

O. V. Pugachev

N. E. Bauman Moscow State Technical University
Full-text PDF (1385 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tvp2493
Abstract: We prove tightness of capacities generated by Sobolev classes of any order in a wide class of locally convex spaces. These capacities are applied in constructing surface measures on level sets of Sobolev and local Sobolev functions.
Keywords: differentiable measure, Sobolev classes in locally convex spaces, tightness of capacity, surface measure, Gauss–Ostrogradskii formula, local Sobolev functions.
Received: 13.06.2007
English version:
Theory of Probability and its Applications, 2009, Volume 53, Issue 1, Pages 179–190
DOI: https://doi.org/10.1137/S0040585X9798347X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Pugachev, “Capacities and Surface Measures in Locally Convex Spaces”, Teor. Veroyatnost. i Primenen., 53:1 (2008), 178–189; Theory Probab. Appl., 53:1 (2009), 179–190
Citation in format AMSBIB
\Bibitem{Pug08}
\by O.~V.~Pugachev
\paper Capacities and Surface Measures in Locally Convex Spaces
\jour Teor. Veroyatnost. i Primenen.
\yr 2008
\vol 53
\issue 1
\pages 178--189
\mathnet{http://mi.mathnet.ru/tvp2493}
\crossref{https://doi.org/10.4213/tvp2493}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2760574}
\zmath{https://zbmath.org/?q=an:05701602}
\elib{https://elibrary.ru/item.asp?id=13603377}
\transl
\jour Theory Probab. Appl.
\yr 2009
\vol 53
\issue 1
\pages 179--190
\crossref{https://doi.org/10.1137/S0040585X9798347X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000264940300015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-62249180116}
Linking options:
  • https://www.mathnet.ru/eng/tvp2493
  • https://doi.org/10.4213/tvp2493
  • https://www.mathnet.ru/eng/tvp/v53/i1/p178
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:350
    Full-text PDF :154
    References:77
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024