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, 2017, Volume 8, Number 2, Pages 47–73 (Mi emj256)  
This article is cited in 4 scientific papers (total in 4 papers)

On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions

V. D. Stepanovab, G. E. Shambilovac

a Steklov Institute of Mathematics, 8 Gubkina St, 119991 Moscow, Russia
b Department of Nonlinear Analysis and Optimization, RUDN University, 6 Miklukho-Maklay St, 117198 Moscow, Russia
c Department of Mathematics, Financial University under the Government of the Russian Federation, 49 Leningradsky Prospekt, 125993 Moscow, Russia
Full-text PDF (453 kB) Citations (4)
References:
PDF
HTML
Abstract: We solve the characterization problem of $L_v^p-L_{\rho}^r$ weighted inequalities on Lebesgue cones of monotone functions on the half-axis for quasilinear integral operators of iterated type with Oinarov's kernels.
Keywords and phrases: Hardy type inequality, weighted Lebesgue space, quasilinear integral operator, Oinarov's kernel, cone of monotone functions.
Funding agency Grant number
Russian Science Foundation 16-41-02004
The research work of G.E. Shambilova and V.D. Stepanov was carried out at the Peoples' Friendship University of Russia and Financially supported by the Russian Science Foundation (Project no. 16-41-02004).
Received: 18.11.2016
Bibliographic databases:
Document Type: Article
MSC: 26D15
Language: English
Citation: V. D. Stepanov, G. E. Shambilova, “On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions”, Eurasian Math. J., 8:2 (2017), 47–73
Citation in format AMSBIB
\Bibitem{SteSha17}
\by V.~D.~Stepanov, G.~E.~Shambilova
\paper On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions
\jour Eurasian Math. J.
\yr 2017
\vol 8
\issue 2
\pages 47--73
\mathnet{http://mi.mathnet.ru/emj256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3708402}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412802400005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029000685}
Linking options:
  • https://www.mathnet.ru/eng/emj256
  • https://www.mathnet.ru/eng/emj/v8/i2/p47
    • This publication is cited in the following 4 articles:
    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:334
    Full-text PDF :113
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024