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, 2006, Volume 70, Issue 2, Pages 211–231
DOI: https://doi.org/10.1070/IM2006v070n02ABEH002310 (Mi im560) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The modified multiplicative integral and derivative of arbitrary order on the semiaxis

S. S. Volosivets

Saratov State University named after N. G. Chernyshevsky
English version PDF (407 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2006v070n02ABEH002310
Abstract: We consider the modified strong dyadic integral and derivative in $L_q({\mathbb R}_+)$, $1\le q\le 2$. We establish conditions for their existence, study how the behaviour of the structural characteristics of a function is related to that of its derivative (integral), and prove an embedding theorem of Hardy–Littlewood–Sobolev type.
Received: 19.05.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2006, Volume 70, Issue 2, Pages 3–24
DOI: https://doi.org/10.4213/im560
Bibliographic databases:
UDC: 517.2
MSC: 42C10, 26A33, 43A25
Language: English
Original paper language: Russian
Citation: S. S. Volosivets, “The modified multiplicative integral and derivative of arbitrary order on the semiaxis”, Izv. RAN. Ser. Mat., 70:2 (2006), 3–24; Izv. Math., 70:2 (2006), 211–231
Citation in format AMSBIB
\Bibitem{Vol06}
\by S.~S.~Volosivets
\paper The modified multiplicative integral and derivative of arbitrary order on the semiaxis
\jour Izv. RAN. Ser. Mat.
\yr 2006
\vol 70
\issue 2
\pages 3--24
\mathnet{http://mi.mathnet.ru/im560}
\crossref{https://doi.org/10.4213/im560}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2223238}
\zmath{https://zbmath.org/?q=an:1104.42016}
\elib{https://elibrary.ru/item.asp?id=9189025}
\transl
\jour Izv. Math.
\yr 2006
\vol 70
\issue 2
\pages 211--231
\crossref{https://doi.org/10.1070/IM2006v070n02ABEH002310}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000239441000001}
\elib{https://elibrary.ru/item.asp?id=13531962}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746631626}
Linking options:
  • https://www.mathnet.ru/eng/im560
  • https://doi.org/10.1070/IM2006v070n02ABEH002310
  • https://www.mathnet.ru/eng/im/v70/i2/p3
    • This publication is cited in the following 7 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:759
    Russian version PDF:228
    English version PDF:20
    References:70
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024