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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 269, Pages 52–62 (Mi tm2891)  
This article is cited in 44 scientific papers (total in 44 papers)

Description of interpolation spaces for local Morrey-type spaces

V. I. Burenkov, E. D. Nursultanov

L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
Full-text PDF (205 kB) Citations (44)
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Abstract: We consider the real interpolation method and prove that for local Morrey spaces, in the case when they have the same integrability parameter, the interpolation spaces are again local Morrey-type spaces with appropriately chosen parameters. Thus, in contrast to the standard Morrey-type spaces, these local spaces form an interpolation scale. In particular, this is true in the so-called nondiagonal case.
Received in December 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 269, Pages 46–56
DOI: https://doi.org/10.1134/S0081543810020045
Bibliographic databases:
Document Type: Article
UDC: 517.51+517.98
Language: Russian
Citation: V. I. Burenkov, E. D. Nursultanov, “Description of interpolation spaces for local Morrey-type spaces”, Function theory and differential equations, Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday, Trudy Mat. Inst. Steklova, 269, MAIK Nauka/Interperiodica, Moscow, 2010, 52–62; Proc. Steklov Inst. Math., 269 (2010), 46–56
Citation in format AMSBIB
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\paper Description of interpolation spaces for local Morrey-type spaces
\inbook Function theory and differential equations
\bookinfo Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday
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\vol 269
\pages 52--62
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 44 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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