Publications
Talk · AIP conference proceedings · January 1, 2016
On the pre-compactness of a set in the generalized Morrey spaces
Nurzhan Bokayev, Victor I. Burenkov, Dauren Matin
Abstract
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.
Advanced Harmonic Analysis ResearchAdvanced Banach Space TheoryApproximation Theory and Sequence Spacesgeneralized Morrey spacescompact setsMorrey spaces
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