Pre-Compact Sets in the Generalized Morrey Spaces in Terms of the Averaging Function

dc.contributor.author	Akhazhanov, Talgat
dc.contributor.author	Turgumbayev, Mendybay
dc.contributor.author	Matin, Dauren
dc.contributor.author	Kenzhebekova, Gulmira
dc.contributor.author	Imanbetova, Akpeiil
dc.contributor.author	Bozhayeva, Altynay
dc.date.accessioned	2026-03-26T06:52:44Z
dc.date.available	2026-03-26T06:52:44Z
dc.date.issued	2025
dc.identifier.issn	02714132
dc.identifier.other	doi.org/10.37256/cm.6120255460
dc.identifier.uri	http://repository.enu.kz/handle/enu/30720
dc.description.abstract	In this paper, sufficient conditions for compactness of sets in generalized Morrey spaces are given in terms of an averaging function. This result is analogous to the well-known Fréchet-Kolmogorov theorem for the pre-compacting of sets in Lebesgue spaces. Our main result consisted of four conditions on the behavior of the function norm and the norm of its averages in generalised Morrey spaces that are sufficient for a set to be pre-compact in these spaces. An example is provided to demonstrate that not all conditions obtained in the main result are necessary for a set to be pre-compacted in generalised Morrey spaces.	ru
dc.language.iso	en	ru
dc.publisher	Contemporary Mathematics	ru
dc.relation.ispartofseries	Volume 6 Issue 1;
dc.subject	pre-compact	ru
dc.subject	generalized Morrey spaces	ru
dc.subject	averaging function	ru
dc.subject	commutator	ru
dc.subject	riesz potential	ru
dc.title	Pre-Compact Sets in the Generalized Morrey Spaces in Terms of the Averaging Function	ru
dc.type	Article	ru