Journal of the American Chemical Society. Vol. 138. 2016. P.. 10112-10115
On the pre-compactness of a set in the generalized Morrey spaces
In this paper, we present sufficient conditions for the pre-compactness of sets in the generalized Morrey spaces Mpw. From this theorem for the case of w(r) = r-λ follows the known result for the Morrey space Mpλ, and in the case of λ = 0 this is the well-known Frechet-Kolmogorov theorem. © 2016 Author(s).
Authors
Bokayev N. 1 , Burenkov V. 2 , Matin D. 1
Conference proceedings
Language
English
State
Published
Number
020108
Volume
1759
Year
2016
Organizations
- 1 Department of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
- 2 Department of Mathematical Analysis and Theory of Functions, Peoples Friendship University of Russia, Moscow, Russian Federation
Keywords
Compactness; Morrey space
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