Geodesic
Comments on definitions of general local and global Morrey-type spaces
Eurasian mathematical journal, Tome 4 (2013) no. 1, pp. 125-134

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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. 
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     author = {T. V. Tararykova},
     title = {Comments on definitions of general local and global {Morrey-type} spaces},
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T. V. Tararykova. Comments on definitions of general local and global Morrey-type spaces. Eurasian mathematical journal, Tome 4 (2013) no. 1, pp. 125-134. http://geodesic.mathdoc.fr/item/EMJ_2013_4_1_a8/