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Eurasian Mathematical Journal, 2014, Volume 5, Number 3, Pages 9–45 (Mi emj162)  
This article is cited in 7 scientific papers (total in 7 papers)

Decompositions for local Morrey spaces

Ts. Batbolda, Y. Sawanob

a Institute of Mathematics, National University of Mongolia, P.O. Box 46A/104, Ulaanbaatar 14201, Mongolia
b Department of Mathematics and Information Science, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji 192-0397, Japan
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Abstract: We develop and apply a decomposition theory for generic local Morrey spaces. Our results are smooth and nonsmooth decompositions, which follows from the fact that local Morrey spaces are isomorphic to local Hardy–Morrey spaces and local Triebel–Lizorkin–Morrey spaces in the generic case. As an application of our results, we consider a bilinear estimate for the fractional integral operators.
Keywords and phrases: local Morrey spaces, atomic decomposition, molecular decomposition.
Received: 10.05.2014
Document Type: Article
MSC: 41A17, 42B25, 42B35
Language: English
Citation: Ts. Batbold, Y. Sawano, “Decompositions for local Morrey spaces”, Eurasian Math. J., 5:3 (2014), 9–45
Citation in format AMSBIB
\Bibitem{BatSaw14}
\by Ts.~Batbold, Y.~Sawano
\paper Decompositions for local Morrey spaces
\jour Eurasian Math. J.
\yr 2014
\vol 5
\issue 3
\pages 9--45
\mathnet{http://mi.mathnet.ru/emj162}
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    • This publication is cited in the following 7 articles:
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