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Eurasian Mathematical Journal, 2012, том 3, номер 2, страницы 53–84
(Mi emj86)
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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity
M. L. Goldman Department of Nonlinear Analysis and Optimization, Peoples' Friendship University of Russia, Moscow, Russia
Аннотация:
Two-sided estimates are established for two types of generalized Hardy operators on the cones of functions in weighted Lebesgue spaces with some properties of monotonicity.
We prove the results announced in [7], and present some other equivalent forms for the criterion of boundedness. Some other equivalent descriptions, particular cases, and results in the case of degenerate measures will be given in our next paper.
Ключевые слова и фразы:
Hardy type operator, cone of quasimonotone functions, criterion of the boundedness.
Поступила в редакцию: 15.07.2012
Образец цитирования:
M. L. Goldman, “Order-sharp estimates for Hardy-type operators on the cones of functions with properties of monotonicity”, Eurasian Math. J., 3:2 (2012), 53–84
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj86 https://www.mathnet.ru/rus/emj/v3/i2/p53
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Страница аннотации: | 369 | PDF полного текста: | 137 | Список литературы: | 46 |
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