Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2017, Volume 81, Issue 6, Pages 1095–1142
DOI: https://doi.org/10.1070/IM8555 (Mi im8555) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Entropy numbers of embedding operators of function spaces on sets with tree-like structure

A. A. Vasil'eva

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (651 kB) Citations (2) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM8555
Abstract: We obtain order estimates for the entropy numbers of embedding operators of weighted Sobolev spaces on a John domain as well as of two-weight summation operators on trees. To do this, we prove a general result on upper bounds for the entropy numbers of embedding operators of function spaces on sets with tree-like structure.
Keywords: entropy numbers, weighted Sobolev spaces, weighted summation operators, sets with tree-like structure.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant no. 14-50-00005.
Received: 28.03.2016
Revised: 11.07.2016
Bibliographic databases:
Document Type: Article
UDC: 517.518.22
MSC: 41A46, 42B35, 46E35, 47B06
Language: English
Original paper language: Russian
Citation: A. A. Vasil'eva, “Entropy numbers of embedding operators of function spaces on sets with tree-like structure”, Izv. Math., 81:6 (2017), 1095–1142
Citation in format AMSBIB
\Bibitem{Vas17}
\by A.~A.~Vasil'eva
\paper Entropy numbers of embedding operators of function spaces on sets with tree-like structure
\jour Izv. Math.
\yr 2017
\vol 81
\issue 6
\pages 1095--1142
\mathnet{http://mi.mathnet.ru//eng/im8555}
\crossref{https://doi.org/10.1070/IM8555}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3733315}
\zmath{https://zbmath.org/?q=an:1388.41018}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017IzMat..81.1095V}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000418891300003}
\elib{https://elibrary.ru/item.asp?id=30737830}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85040970222}
Linking options:
  • https://www.mathnet.ru/eng/im8555
  • https://doi.org/10.1070/IM8555
  • https://www.mathnet.ru/eng/im/v81/i6/p38
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:627
    Russian version PDF:74
    English version PDF:28
    References:74
    First page:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024