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Eurasian Mathematical Journal, 2012, том 3, номер 1, страницы 5–17
(Mi emj70)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
On the boundedness of some classes of integral operators in weighted Lebesgue spaces
L. S. Arendarenkoa, R. Oinarova, L.-E. Perssonb a Department of Fundamental and Applying Mathematics,
Faculty of Mechanics and Mathematics,
Eurasian National University,
Astana, Kazakhstan
b Department of Engineering Sciences and Mathematics
Luleå University of Technology, SE-971 87 Luleå, Sweden
Аннотация:
Some new Hardy-type inequalities for Hardy-Volterra integral operators are proved and discussed. The case
$1<q<p<\infty$ is considered and the involved kernels satisfy conditions, which are less restrictive than the usual Oinarov condition.
Ключевые слова и фразы:
Hardy type inequalities, boundedness, integral operators, kernels, weighted Lebesgue spaces.
Поступила в редакцию: 06.09.2011
Образец цитирования:
L. S. Arendarenko, R. Oinarov, L.-E. Persson, “On the boundedness of some classes of integral operators in weighted Lebesgue spaces”, Eurasian Math. J., 3:1 (2012), 5–17
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj70 https://www.mathnet.ru/rus/emj/v3/i1/p5
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