N. Temirgaliev, M. A. Zhainibekova, G. T. Dzhumakaeva, “Criteria of embedding of classes of Morrey type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 5,Pages <nobr>80

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Brief communications

Criteria of embedding of classes of Morrey type

N. Temirgaliev^a, M. A. Zhainibekova^b, G. T. Dzhumakaeva^b

^a Institute of Theoretical Mathematics and Scientific Computation, L. N. Gumilev Eurasian National University, 2 Mirzoyana str., Astana, 010000 Republic of Kazakhstan
^b Laboratory of Scientific Computation, L. N. Gumilev Eurasian National University, 2 Mirzoyana str., Astana, 010000 Republic of Kazakhstan

Abstract: We show that replacing Lebesgue's norm by Morrey's seminorm in the definition of functional classes, it is possible to obtain unimprovable theorems of embedding which are additional to classical theorems in case when they are not fulfilled.

Keywords: theorem of embedding, Morrey seminorm, Sobolev–Morrey class, Lebesgue–Morrey class, Lorentz spaces.

UDC: 517.518

Received: 08.11.2014