This article is cited in 6 papers

Short communications

On precompactness of a set in general local and global Morrey-type spaces

N. A. Bokayev^a, V. I. Burenkov^bc, D. T. Matin<sup>a

a</sup> Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 13 Munaitpasov St, 010008 Astana, Kazakhstan
^b S.M. Nikolskii Mathematical Institute, Peoples Friendship University of Russia(RUDN University), 6 Miklukho-Maklay St, 117198 Moscow, Russia
^c V.A. Steklov Mathematical Institute, Russian Academy of Sciences, 8 Gubkin St, Moscow, 119991 Russia

Abstract: Necessary and sufficient conditions for the precompactness of a set in general local Morrey-type spaces and sufficient conditions for the precompactness of a set in general global Morrey-type spaces are obtained.

Keywords and phrases: Morrey spaces, precompactness, local and global Morrey-type spaces.

MSC: 35Q79, 35K05, 35K20

Received: 15.07.2017

Language: English

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