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Eurasian Mathematical Journal, 2020, Volume 11, Number 4, Pages 35–44
DOI: https://doi.org/10.32523/2077-9879-2020-11-4-35-44 (Mi emj380) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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
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DOI: https://doi.org/10.32523/2077-9879-2020-11-4-35-44
Abstract: 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.
Keywords and phrases: ideal spaces, rearrangement invariant space, local and global Morrey spaces, Morrey-type spaces, symmetrization, embedding, classes of operators.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-03-2020-223/3 (FSSF-2020-0018)
This work is supported by the Ministry of Science and Higher Education of the Russian Federation: agreement no. 075-03-2020-223/3 (FSSF-2020-0018).
Received: 10.05.2020
Bibliographic databases:
Document Type: Article
MSC: 46E30, 47А15, 47A30
Language: English
Citation: M. L. Goldman, E. G. Bakhtigareeva, “Some classes of operators in general Morrey-type spaces”, Eurasian Math. J., 11:4 (2020), 35–44
Citation in format AMSBIB
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\paper Some classes of operators in general Morrey-type spaces
\jour Eurasian Math. J.
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\vol 11
\issue 4
\pages 35--44
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