RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2016 Volume 57, Number 5, Pages 1156–1170 (Mi smj2814)
A criterion for embedding of anisotropic Sobolev–Morrey spaces into the space of uniformly continuous functions

N. Temirgaliev, M. A. Zhainibekova, G. T. Dzhumakaeva

L. N. Gumilyov Eurasian National University, Institute of Theoretical Mathematics and Scientific Computations, Astana, Kazakhstan

Abstract: We prove the embedding theorems of the Sobolev–Morrey spaces into the space of uniformly continuous functions so extending the classical Sobolev Theorems.

Keywords: embedding theorem, Sobolev–Morrey space, uniformly continuous function.

UDC: 517.518

Received: 02.05.2015

DOI: 10.17377/smzh.2016.57.520


 English version: Siberian Mathematical Journal, 2016, 57:5, 905–917

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024