This article is cited in 4 papers

Comments on definitions of general local and global Morrey-type spaces

T. V. Tararykova<sup>ab

a</sup> Cardiff School of Mathematics, Cardiff University, Cardiff, UK
^b Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Astana, Kazakhstan

Abstract: It is proved that in one of the popular definitions of general local and global Morrey-type spaces the functional parameter which enters these definitions can be replaced, without essential loss of generality, by another one, which has better regularity properties.

Keywords and phrases: general local and global Morrey-type spaces, regularization of the functional parameter.

MSC: 42B35, 46E30

Received: 20.01.2013

Language: English

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