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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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.

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
URI:	https://orca.cardiff.ac.uk/id/eprint/84900

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