V. I. Burenkov, D. K. Darbayeva, E. D. Nursultanov, “Description of interpolation spaces for general local Morrey-type spaces”, Eurasian Math. J., 2013, том 4, номер 1,страницы 46

Эта публикация цитируется в 17 статьях

Description of interpolation spaces for general local Morrey-type spaces

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

^a 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

Аннотация: 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.

Ключевые слова и фразы: Morrey spaces, general local Morrey-type spaces, interpolation theorems.

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

Поступила в редакцию: 17.12.2012

Язык публикации: английский