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JOURNALS // Eurasian Mathematical Journal // Archive

Eurasian Math. J., 2020 Volume 11, Number 4, Pages 35–44 (Mi emj380)

This article is cited 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

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.

MSC: 46E30, 47À15, 47A30

Received: 10.05.2020

Language: English

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



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