From Arzela–Ascoli to Riesz–Kolmogorov

Przemysław Górka , Humberto Rafeiro


In this paper we study totally bounded sets in Banach function spaces (BFS), from which we characterize compact sets (via Hausdorff criterion) in some non-standard function spaces which fall under the umbrella of BFS. We obtain a Riesz–Kolmogorov compactness theorem for the grand variable exponent Lebesgue spaces.
Author Przemysław Górka (FMIS / DPDE)
Przemysław Górka,,
- Department of Partial Differential Equations
, Humberto Rafeiro - [Pontificia Universidad Javeriana]
Humberto Rafeiro,,
Journal seriesNonlinear Analysis-Theory Methods & Applications, ISSN 0362-546X
Issue year2016
Publication size in sheets0.5
Keywords in EnglishBanach function spaces, Metric measure spaces, Riesz–Kolmogorov theorem, Grand variable exponent Lebesgue
ASJC Classification2604 Applied Mathematics; 2603 Analysis
Abstract in PolishBadamy zbiory całkowicie ograniczone w przestrzeniach funkcyjnych Banacha (BFS). Podajemy ich pełną charakteryzację.
Languageen angielski
Score (nominal)45
Score sourcejournalList
ScoreMinisterial score = 40.0, 31-01-2020, ArticleFromJournal
Ministerial score (2013-2016) = 45.0, 31-01-2020, ArticleFromJournal
Publication indicators WoS Citations = 4; Scopus Citations = 5; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 1.273; WoS Impact Factor: 2016 = 1.192 (2) - 2016=1.353 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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