Eurasian Mathematical Journal
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


Eurasian Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Eurasian Mathematical Journal, 2015, Volume 6, Number 3, Pages 93–100 (Mi emj204)  
Short communications

Embeddings and widths of weighted Sobolev classes

A. A. Vasil'eva

Steklov Mathematical Institute, Russian Academy of Sciences, 8 Gubkina St., Moscow 119991, Russia
Full-text PDF (424 kB)
References:
PDF
HTML
Abstract: In this paper, embedding theorems for reduced weighted Sobolev classes $\hat{W}_{p,g}^r(\Omega)$ in Lebesgue spaces $L_{q,v}(\Omega)$ are obtained. Here weight functions have singularity at the origin and $v\notin L_q(\Omega)$. For some special weight functions order estimates for Kolmogorov, Gelfand and linear widths are obtained.
Keywords and phrases: weighted Sobolev spaces, John domains, embeddings, widths.
Funding agency Grant number
Russian Science Foundation 14-11-00443
This work was supported by the Russian Science Foundation (project 14-11-00443).
Received: 17.09.2015
Bibliographic databases:
Document Type: Article
MSC: 26D10, 41A10
Language: English
Citation: A. A. Vasil'eva, “Embeddings and widths of weighted Sobolev classes”, Eurasian Math. J., 6:3 (2015), 93–100
Citation in format AMSBIB
\Bibitem{Vas15}
\by A.~A.~Vasil'eva
\paper Embeddings and widths of weighted Sobolev classes
\jour Eurasian Math. J.
\yr 2015
\vol 6
\issue 3
\pages 93--100
\mathnet{http://mi.mathnet.ru/emj204}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374499900007}
Linking options:
  • https://www.mathnet.ru/eng/emj204
  • https://www.mathnet.ru/eng/emj/v6/i3/p93
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Eurasian Mathematical Journal
    Statistics & downloads:
    Abstract page:197
    Full-text PDF :95
    References:78
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024