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).

Авторы
Bokayev N.1 , Burenkov V. 2 , Matin D.1
Сборник материалов конференции
AIP Conference Proceedings
Язык
Английский
Статус
Опубликовано
DOI
10.1063/1.4959722
Номер
020108
Том
1759
Год
2016
Организации
  • 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
Ключевые слова
Compactness; Morrey space
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