This article is cited in 17 papers

Description of interpolation spaces for general local Morrey-type spaces

V. I. Burenkov^ab, D. K. Darbayeva^b, E. D. Nursultanov<sup>cd

a</sup> Cardiff School of Mathematics, Cardiff University, Cardiff, UK
^b Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
^c Lomonosov Moscow State University (Kazakhstan branch), Astana, Kazakhstan
^d L. N. Gumilev Eurasian National University, Astana, Kazakhstan

Abstract: We consider the real interpolation method and prove that for general local Morrey-type spaces, in the case when they have the same integrability parameter, the interpolation spaces are again general local Morrey-type spaces with appropriately chosen parameters.

Keywords and phrases: Morrey spaces, general local Morrey-type spaces, interpolation theorems.

MSC: 42B35, 46E30, 47B38, 46B70

Received: 17.12.2012

Language: English

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