Loading [MathJax]/jax/output/CommonHTML/jax.js
Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 264–288 (Mi tm599)  
This article is cited in 15 scientific papers (total in 15 papers)

On the Geometric Mean Operator with Variable Limits of Integration

V. D. Stepanova, E. P. Ushakovab

a Peoples Friendship University of Russia
b Computer Centre Far-Eastern Branch of RAS
Full-text PDF (277 kB) Citations (15)
References:
PDF
HTML
Abstract: A new criterion for the weighted Lp–Lq boundedness of the Hardy operator with two variable limits of integration is obtained for 0<q<q+1⩽p<∞. This criterion is applied to the characterization of the weighted Lp–Lq boundedness of the corresponding geometric mean operator for 0<q<p<∞.
Received in July 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 254–278
DOI: https://doi.org/10.1134/S0081543808010185
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, Function theory and nonlinear partial differential equations, Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 260, MAIK Nauka/Interperiodica, Moscow, 2008, 264–288; Proc. Steklov Inst. Math., 260 (2008), 254–278
Citation in format AMSBIB
\Bibitem{SteUsh08}
\by V.~D.~Stepanov, E.~P.~Ushakova
\paper On the Geometric Mean Operator with Variable Limits of Integration
\inbook Function theory and nonlinear partial differential equations
\bookinfo Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2008
\vol 260
\pages 264--288
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm599}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2489517}
\zmath{https://zbmath.org/?q=an:1233.42001}
\elib{https://elibrary.ru/item.asp?id=9934831}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2008
\vol 260
\pages 254--278
\crossref{https://doi.org/10.1134/S0081543808010185}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262227800018}
\elib{https://elibrary.ru/item.asp?id=13592737}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-43749108608}
Linking options:
  • https://www.mathnet.ru/eng/tm599
  • https://www.mathnet.ru/eng/tm/v260/p264
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:511
    Full-text PDF :99
    References:92
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025