Ts. Batbold, Y. Sawano, “Decompositions for local Morrey spaces”, Eurasian Math. J., 5:3 (2014), 9

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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. Batbold^a, Y. Sawano^b

^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

Full-text PDF (527 kB) Citations (7)

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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}

Linking options:

https://www.mathnet.ru/eng/emj162

https://www.mathnet.ru/eng/emj/v5/i3/p9

This publication is cited in the following 7 articles:

K. Saka, “New $2$ -microlocal Besov and Triebel–Lizorkin spaces via the Litllewood–Paley decomposition”, Eurasian Math. J., 14:3 (2023), 75–111
Saka K., “2-Microlocal Spaces Associated With Besov Type and Triebel-Lizorkin Type Spaces”, Rev. Mat. Complut., 2021
Y. Sawano, H. Yoshida, “A predual of a predual of $B_\sigma$ and its applications to commutators”, Sci. China-Math., 61:8 (2018), 1437–1472
V. S. Guliyev, S. G. Hasanov, Y. Sawano, “Decompositions of local Morrey-type spaces”, Positivity, 21:3 (2017), 1223–1252
A. Gogatishvili, R. Mustafayev, T. Ünver, “Embedding relations between weighted complementary local Morrey-type spaces and weighted local Morrey-type spaces”, Eurasian Math. J., 8:1 (2017), 34–49
A. Akbulut, V. S. Guliyev, T. Noi, Y. Sawano, “Generalized Hardy-Morrey spaces”, Z. Anal. ihre. Anwend., 36:2 (2017), 129–149
F.-Yu. Maeda, Y. Sawano, T. Shimomura, “Some norm inequalities in Musielak-Orlicz spaces”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 41:2 (2016), 721–744

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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