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Eurasian Mathematical Journal, 2013, Volume 4, Number 1, Pages 46–53
(Mi emj113)
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This article is cited in 17 scientific papers (total in 17 papers)
Description of interpolation spaces for general local Morrey-type spaces
V. I. Burenkovab, D. K. Darbayevab, E. D. Nursultanovcd a Cardiff School of Mathematics, Cardiff University, Cardiff, UK
b Faculty of Mechanics and Mathematics,
L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
c Lomonosov Moscow State University (Kazakhstan branch), Astana, Kazakhstan
d L. N. Gumilev Eurasian National University, Astana, Kazakhstan
Abstract:
We consider the real interpolation method and prove that for general local Morrey-type spaces, in the case when they have the same integrability parameter, the interpolation spaces are again general local Morrey-type spaces with appropriately chosen parameters.
Keywords and phrases:
Morrey spaces, general local Morrey-type spaces, interpolation theorems.
Received: 17.12.2012
Citation:
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
Linking options:
https://www.mathnet.ru/eng/emj113 https://www.mathnet.ru/eng/emj/v4/i1/p46
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