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Description of interpolation spaces for local Morrey-type spaces

Burenkov, Victor and Nursultanov, E. D. 2010. Description of interpolation spaces for local Morrey-type spaces. Proceedings of the Steklov Institute of Mathematics 269 (1) , pp. 46-56. 10.1134/S0081543810020045

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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.

Item Type: Article
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: SP MAIK Nauka/Interperiodica
ISSN: 1531-8605
Last Modified: 04 Jun 2017 08:47

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