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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2010 Volume 269, Pages 52–62 (Mi tm2891)

This article is cited in 46 papers

Description of interpolation spaces for local Morrey-type spaces

V. I. Burenkov, E. D. Nursultanov

L. N. Gumilyov Eurasian National University, Astana, Kazakhstan

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.

UDC: 517.51+517.98

Received in December 2009


 English version:
Proceedings of the Steklov Institute of Mathematics, 2010, 269, 46–56

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