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, 2010, Volume 269, Pages 31–51 (Mi tm2890)  
This article is cited in 9 scientific papers (total in 9 papers)

Spaces of functions of fractional smoothness on an irregular domain

O. V. Besov

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (264 kB) Citations (9)
References:
PDF
HTML
Abstract: On an irregular domain G⊂Rn of a certain type, we introduce spaces of functions of fractional smoothness s>0. We prove embedding theorems relating these spaces to the Sobolev spaces Wmp(G) and Lebesgue spaces Lp(G).
Received in October 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 269, Pages 25–45
DOI: https://doi.org/10.1134/S0081543810020033
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. V. Besov, “Spaces of functions of fractional smoothness on an irregular domain”, Function theory and differential equations, Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday, Trudy Mat. Inst. Steklova, 269, MAIK Nauka/Interperiodica, Moscow, 2010, 31–51; Proc. Steklov Inst. Math., 269 (2010), 25–45
Citation in format AMSBIB
\Bibitem{Bes10}
\by O.~V.~Besov
\paper Spaces of functions of fractional smoothness on an irregular domain
\inbook Function theory and differential equations
\bookinfo Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2010
\vol 269
\pages 31--51
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm2890}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2729971}
\zmath{https://zbmath.org/?q=an:1247.46026}
\elib{https://elibrary.ru/item.asp?id=15109749}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2010
\vol 269
\pages 25--45
\crossref{https://doi.org/10.1134/S0081543810020033}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000281705900003}
\elib{https://elibrary.ru/item.asp?id=15329501}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77956631228}
Linking options:
  • https://www.mathnet.ru/eng/tm2890
  • https://www.mathnet.ru/eng/tm/v269/p31
    • This publication is cited in the following 9 articles:
    1. O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain in Lebesgue Spaces”, Math. Notes, 113:1 (2023), 18–26  mathnet  crossref  crossref  mathscinet
    2. O. V. Besov, “Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a Hölder Domain”, Proc. Steklov Inst. Math., 323 (2023), 47–58  mathnet  crossref  crossref
    3. Besov O.V., “Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains”, Dokl. Math., 99:1 (2019), 31–35  mathnet  crossref  mathscinet  isi
    4. O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains”, Math. Notes, 106:4 (2019), 501–513  mathnet  crossref  crossref  mathscinet  isi  elib
    5. O. V. Besov, “Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Spaces”, Math. Notes, 103:3 (2018), 348–356  mathnet  crossref  crossref  mathscinet  isi  elib
    6. O. V. Besov, “Spaces of functions of positive smoothness on irregular domains”, Proc. Steklov Inst. Math., 293 (2016), 56–66  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    7. Besov O.V., “Embedding of Sobolev spaces with limit exponent revisited”, Dokl. Math., 94:3 (2016), 684–687  mathnet  crossref  mathscinet  zmath  isi  scopus
    8. Besov O.V., “Spaces of functions of positive smoothness on irregular domains”, Dokl. Math., 93:1 (2016), 13–15  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
    9. O. V. Besov, “Integral estimates for differentiable functions on irregular domains”, Sb. Math., 201:12 (2010), 1777–1790  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    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:663
    Full-text PDF :92
    References:123
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025