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Description of interpolation spaces for local Morrey-type spaces

  • V. I. Burenkov
  • E. D. Nursultanov
Article

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.

Keywords

STEKLOV Institute Maximal Operator Singular Integral Operator Interpolation Space Morrey Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.L.N. Gumilyov Eurasian National UniversityAstanaKazakhstan

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