Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 1, Pages 158–170
DOI: https://doi.org/10.17377/smzh.2018.59.114 (Mi smj2962) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Sobolev embedding theorems and generalizations for functions on a metric measure space

N. N. Romanovskiĭ

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (332 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2018.59.114
Abstract: Considering the metric case, we define an analog of the Sobolev space of functions with generalized derivatives of order greater than 1. The space of functions with fractional generalized derivatives is also treated. We prove generalizations of the Sobolev embedding theorems and Gagliardo–Nirenberg interpolation inequalities to the metric case.
Keywords: Sobolev classes, metric measure space, embedding theorems, Gagliardo–Nirenberg inequalities.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00801
The author was supported by the Russian Foundation for Basic Research (Grant 17-01-00801).
Received: 06.07.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 1, Pages 126–135
DOI: https://doi.org/10.1134/S0037446618010147
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.518.23
MSC: 35R30
Language: Russian
Citation: N. N. Romanovskiǐ, “Sobolev embedding theorems and generalizations for functions on a metric measure space”, Sibirsk. Mat. Zh., 59:1 (2018), 158–170; Siberian Math. J., 59:1 (2018), 126–135
Citation in format AMSBIB
\Bibitem{Rom18}
\by N.~N.~Romanovski{\v\i}
\paper Sobolev embedding theorems and generalizations for functions on a~metric measure space
\jour Sibirsk. Mat. Zh.
\yr 2018
\vol 59
\issue 1
\pages 158--170
\mathnet{http://mi.mathnet.ru/smj2962}
\crossref{https://doi.org/10.17377/smzh.2018.59.114}
\elib{https://elibrary.ru/item.asp?id=32824598}
\transl
\jour Siberian Math. J.
\yr 2018
\vol 59
\issue 1
\pages 126--135
\crossref{https://doi.org/10.1134/S0037446618010147}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000427144300014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85043498124}
Linking options:
  • https://www.mathnet.ru/eng/smj2962
  • https://www.mathnet.ru/eng/smj/v59/i1/p158
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:321
    Full-text PDF :73
    References:41
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024