A. Gogatishvili, V. D. Stepanov, “Integral operators on cones of monotone functions”, Doklady Akademii Nauk, 2012, Volume 446, Number 4, Pages 367

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Doklady Akademii Nauk, 2012, Volume 446, Number 4, Pages 367–370 (Mi dan24843)

This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICS

Integral operators on cones of monotone functions

A. Gogatishvili^a, V. D. Stepanov^b

^a Institute of Mathematics, Academy of Sciences of the Czech Republic, Zitna 25, 11567 Prague 1, Czech Republic
^b Peoples’ Friendship University of Russia, ul. MiklukhoMaklaya 6, Moscow, 117198 Russia

Citations (4)

Funding agency	Grant number
Grantová Agentura České Republiky	201-08-0383
Institute of Mathematics of the Academy of Sciences of the Czech Republic	RVO: 67985840
Russian Foundation for Basic Research	12-01-00524 12-01-00554
Russian Academy of Sciences - Federal Agency for Scientific Organizations	12-I-OMN-01 12-II-CO-01M-005
Gogatishvili acknowledges the partial support of the Grant Agency of the Czech Republic (grant no. 201-08-0383) and the Institute of Mathematics of the Czech Academy of Sciences (RVO: 67985840). Stepanov acknowledges the Russian Foundation for Basic Research (project nos. 12-01-00524 and 12-01-00554) and the Russian Academy of Sciences (project nos. 12-I-OMN-01 and 12-II-CO-01M-005) for providing partial funding for this research.

Received: 28.05.2012

English version:
Doklady Mathematics, 2012, Volume 86, Issue 2, Pages 650–653
DOI: https://doi.org/10.1134/S1064562412050158

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Document Type: Article

Language: Russian

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https://www.mathnet.ru/eng/dan24843

This publication is cited in the following 4 articles:

V. D. Stepanov, G. E. Shambilova, “On the Iterated Integral Operators on the Cone of Monotone Functions”, Sib Math J, 66:2 (2025), 345
V. D. Stepanov, G. E. Shambilova, “Boundedness of quasilinear integral operators on the cone of monotone functions”, Siberian Math. J., 57:5 (2016), 884–904
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
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

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