|
This article is cited in 7 scientific papers (total in 7 papers)
Weighted estimates for the integral operators with monotone kernel on a half-axis
V. D. Stepanov, E. P. Ushakova
Computer Centre Far-Eastern Branch of RAS
Abstract:
We give criteria for the boundedness of integral operators with nonnegative monotone kernel in the weighted Lebesgue spaces on a half-axis.
Keywords:
weighted Lebesgue space, integral operator
 Full text:
PDF file (193 kB)
References:
PDF file
HTML file
English version:
Siberian Mathematical Journal, 2004, 45:6, 1124–1134
Bibliographic databases:
  
UDC:
517.51
Received: 19.07.2004
Citation:
V. D. Stepanov, E. P. Ushakova, “Weighted estimates for the integral operators with monotone kernel on a half-axis”, Sibirsk. Mat. Zh., 45:6 (2004), 1378–1390; Siberian Math. J., 45:6 (2004), 1124–1134
Citation in format AMSBIB
\Bibitem{SteUsh04}
\by V.~D.~Stepanov, E.~P.~Ushakova
\paper Weighted estimates for the integral operators with monotone kernel on a half-axis
\jour Sibirsk. Mat. Zh.
\yr 2004
\vol 45
\issue 6
\pages 1378--1390
\mathnet{http://mi.mathnet.ru/smj1147}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2123300}
\zmath{https://zbmath.org/?q=an:1084.45005}
\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 6
\pages 1124--1134
\crossref{https://doi.org/10.1023/B:SIMJ.0000048928.19425.f1}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000225820500015}
Linking options:
http://mi.mathnet.ru/eng/smj1147 http://mi.mathnet.ru/eng/smj/v45/i6/p1378
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:
-
N. A. Rautian, “On the boundedness of a class of fractional type integral operators”, Sb. Math., 200:12 (2009), 1807–1832
   -
Stepanov V.D., Ushakova E.P., “Alternative criteria for the boundedness of Volterra integral operators in Lebesgue spaces”, Math. Inequal. Appl., 12:4 (2009), 873–889
-
Ushakova E.P., “On singular numbers of a generalized Stieltjes transformation”, Dokl. Math., 81:2 (2010), 214–215
 -
E. P. Ushakova, “Estimates for the singular values of Stieltjes type transforms”, Siberian Math. J., 52:1 (2011), 159–166
-
A. Gogatishvili, V. D. Stepanov, “Reduction theorems for weighted integral inequalities on the cone of monotone functions”, Russian Math. Surveys, 68:4 (2013), 597–664
-
E. P. Ushakova, “Upper estimates for the approximation numbers of the generalized Laplace transform”, Proc. Steklov Inst. Math., 283 (2013), 260–280
-
G. E. Shambilova, “The weighted inequalities for a certain class of quasilinear integral operators on the cone of monotone functions”, Siberian Math. J., 55:4 (2014), 745–767
|
| Number of views: |
| This page: | 314 | | Full text: | 97 | | References: | 26 |
|
Terms of Use