Sufficient conditions for the precompactness of sets in Local Morrey-type spaces

In this paper we give sufficient conditions for the pre-compactness of sets in local Morrey-type spaces LMpθ,w(·)(Rn). For w(r) = r−λ, θ = ∞, 0 ≤ λ ≤ np there follows a known result for the Morrey spacesMλp (Rn). In the case λ = 0 this is the well-known Frechet-Kolmogorov theorem. The pre-compactne...

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Bibliographic Details
Main Authors: D.T. Matin, Zh.Zh. Baituyakova, A.N. Adilkhanov
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2018-12-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/239