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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Some classes of operators in general Morrey-type spaces
M. L. Goldman, E. G. Bakhtigareeva S.M. Nikol'skii Mathematical Institute,
Peoples' Friendship University of Russia (RUDN University),
6 Miklukho-Maklaya St,
117198, Moscow, Russian Federation
Аннотация:
In this paper we continue the study of general Morrey spaces using a general rearrangement invariant space as a basic space, and a general ideal space as an outer space. Here we consider some classes of positively homogeneous monotone operators from general rearrangement invariant spaces to general Morrey spaces and obtain the estimates for their norms. This approach covers many operators of analysis, such as the embedding and symmetrization operators, Hardy-Littlewood maximal operators, generalized Riesz potentials, Hardy-type operators.
Ключевые слова и фразы:
ideal spaces, rearrangement invariant space, local and global Morrey spaces, Morrey-type spaces, symmetrization, embedding, classes of operators.
Поступила в редакцию: 10.05.2020
Образец цитирования:
M. L. Goldman, E. G. Bakhtigareeva, “Some classes of operators in general Morrey-type spaces”, Eurasian Math. J., 11:4 (2020), 35–44
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj380 https://www.mathnet.ru/rus/emj/v11/i4/p35
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Страница аннотации: | 220 | PDF полного текста: | 86 | Список литературы: | 35 |
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