Matematicheskie Trudy
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Tr.:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Trudy, 2004, Volume 7, Number 1, Pages 13–49 (Mi mt69)  
This article is cited in 24 scientific papers (total in 24 papers)

Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. II

S. K. Vodop'yanova, A. D.-O. Ukhlovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Khabarovsk State University of Technology
Full-text PDF (2797 kB) Citations (24)
References:
PDF
HTML
Abstract: We study the properties of the mappings inducing a bounded operator of Lebesgue or Sobolev spaces by change of variable and the properties of the operator of extension of functions in Sobolev classes beyond the domain of definition.
Key words: quasiadditive set function, Lebesgue space, Sobolev space, embedding theorems.
Received: 02.04.2002
Bibliographic databases:
UDC: 517.518.1+517.54
Language: Russian
Citation: S. K. Vodop'yanov, A. D.-O. Ukhlov, “Set Functions and Their Applications in the Theory of Lebesgue and Sobolev Spaces. II”, Mat. Tr., 7:1 (2004), 13–49; Siberian Adv. Math., 15:1 (2005), 91–125
Citation in format AMSBIB
\Bibitem{VodUkh04}
\by S.~K.~Vodop'yanov, A.~D.-O.~Ukhlov
\paper Set Functions and Their Applications in the~Theory of Lebesgue and Sobolev Spaces.~II
\jour Mat. Tr.
\yr 2004
\vol 7
\issue 1
\pages 13--49
\mathnet{http://mi.mathnet.ru/mt69}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2068275}
\zmath{https://zbmath.org/?q=an:1091.47027}
\elib{https://elibrary.ru/item.asp?id=9530092}
\transl
\jour Siberian Adv. Math.
\yr 2005
\vol 15
\issue 1
\pages 91--125
Linking options:
  • https://www.mathnet.ru/eng/mt69
  • https://www.mathnet.ru/eng/mt/v7/i1/p13
    Cycle of papers
    This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
    Statistics & downloads:
    Abstract page:611
    Full-text PDF :223
    References:93
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024