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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2020, том 11, номер 4, страницы 35–44 (Mi emj380)

Эта публикация цитируется 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.

MSC: 46E30, 47А15, 47A30

Поступила в редакцию: 10.05.2020

Язык публикации: английский

DOI: 10.32523/2077-9879-2020-11-4-35-44



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