Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 323, Pages 65–86
DOI: https://doi.org/10.4213/tm4354 (Mi tm4354) 		 
Sobolev and Besov Classes on Infinite-Dimensional Spaces

V. I. Bogachevab

a Lomonosov Moscow State University, Moscow, 119991 Russia
b National Research University Higher School of Economics, Pokrovskii bul. 11, Moscow, 109028 Russia
Full-text PDF (353 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4354
Abstract: We discuss various definitions of Sobolev and Besov classes on infinite-dimensional spaces, give a survey of the results on coincidence of some of these classes, and obtain a number of new results.
Keywords: Sobolev space, Besov space, Gaussian measure, differentiable measure.
Funding agency Grant number
Russian Science Foundation 22-11-00015
This work was supported by the Russian Science Foundation under grant no. 22-11-00015, https://rscf.ru/en/project/22-11-00015/, and performed at Lomonosov Moscow State University.
Received: May 7, 2023
Revised: August 2, 2023
Accepted: August 9, 2023
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 323, Pages 59–80
DOI: https://doi.org/10.1134/S0081543823050048
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: V. I. Bogachev, “Sobolev and Besov Classes on Infinite-Dimensional Spaces”, Theory of Functions of Several Real Variables and Its Applications, Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday, Trudy Mat. Inst. Steklova, 323, Steklov Mathematical Institute of RAS, Moscow, 2023, 65–86; Proc. Steklov Inst. Math., 323 (2023), 59–80
Citation in format AMSBIB
\Bibitem{Bog23}
\by V.~I.~Bogachev
\paper Sobolev and Besov Classes on Infinite-Dimensional Spaces
\inbook Theory of Functions of Several Real Variables and Its Applications
\bookinfo Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 323
\pages 65--86
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4354}
\crossref{https://doi.org/10.4213/tm4354}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4716515}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 323
\pages 59--80
\crossref{https://doi.org/10.1134/S0081543823050048}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85186879927}
Linking options:
  • https://www.mathnet.ru/eng/tm4354
  • https://doi.org/10.4213/tm4354
  • https://www.mathnet.ru/eng/tm/v323/p65
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:160
    Full-text PDF :1
    References:23
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024