RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

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

 Sibirsk. Mat. Zh., 2011, Volume 52, Number 6, Pages 1313–1328 (Mi smj2276)

Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits

R. Oĭnarov

L. N. Gumilev Eurasian National University, Astana, Kazakhstan

Abstract: Considering the integral operators with nonnegative kernels and variable integration limits, we obtain criteria of boundedness and compactness in weighted Lebesgue spaces under some conditions on the kernels that are weaker than those studied before.

Keywords: integral operator with variable integration limits, Lebesgue space, boundedness, compactness.

Full text: PDF file (341 kB)
References: PDF file   HTML file

English version:
Siberian Mathematical Journal, 2011, 52:6, 1042–1055

Bibliographic databases:

UDC: 517.51

Citation: R. Oǐnarov, “Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits”, Sibirsk. Mat. Zh., 52:6 (2011), 1313–1328; Siberian Math. J., 52:6 (2011), 1042–1055

Citation in format AMSBIB
\Bibitem{Oin11} \by R.~O{\v\i}narov \paper Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits \jour Sibirsk. Mat. Zh. \yr 2011 \vol 52 \issue 6 \pages 1313--1328 \mathnet{http://mi.mathnet.ru/smj2276} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2961757} \transl \jour Siberian Math. J. \yr 2011 \vol 52 \issue 6 \pages 1042--1055 \crossref{https://doi.org/10.1134/S0037446611060097} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000298650800009} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855163240} 

• http://mi.mathnet.ru/eng/smj2276
• http://mi.mathnet.ru/eng/smj/v52/i6/p1313

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. R. Oinarov, “Boundedness of integral operators in weighted Sobolev spaces”, Izv. Math., 78:4 (2014), 836–853
2. Kalybay A. Persson L.-E. Temirkhanova A., “a New Discrete Hardy-Type Inequality With Kernels and Monotone Functions”, J. Inequal. Appl., 2015, 321
3. A. A. Kalybay, R. Oinarov, “Bounds for a class of quasilinear integral operators on the set of non-negative and non-negative monotone functions”, Izv. Math., 83:2 (2019), 251–272
•  Number of views: This page: 310 Full text: 94 References: 37 First page: 10