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 Eurasian Math. J., 2013, Volume 4, Number 1, Pages 125–134 (Mi emj118)

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

T. V. Tararykovaab

a 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.

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Document Type: Article
MSC: 42B35, 46E30
Language: English

Citation: T. V. Tararykova, “Comments on definitions of general local and global Morrey-type spaces”, Eurasian Math. J., 4:1 (2013), 125–134

Citation in format AMSBIB
\Bibitem{Tar13} \by T.~V.~Tararykova \paper Comments on definitions of general local and global Morrey-type spaces \jour Eurasian Math. J. \yr 2013 \vol 4 \issue 1 \pages 125--134 \mathnet{http://mi.mathnet.ru/emj118} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3118895} \zmath{https://zbmath.org/?q=an:1283.42038} 

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• http://mi.mathnet.ru/eng/emj/v4/i1/p125

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This publication is cited in the following articles:
1. V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II”, Eurasian Math. J., 4:1 (2013), 21–45
2. V. I. Burenkov, D. K. Darbayeva, E. D. Nursultanov, “Description of interpolation spaces for general local Morrey-type spaces”, Eurasian Math. J., 4:1 (2013), 46–53
3. V. I. Burenkov, E. D. Nursultanov, D. K. Chigambayeva, “Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations”, Proc. Steklov Inst. Math., 284 (2014), 97–128
4. V. I. Burenkov, T. V. Tararykova, “An analog of Young's inequality for convolutions of functions for general Morrey-type spaces”, Proc. Steklov Inst. Math., 293 (2016), 107–126
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