Abstract
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.
Original language | English |
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Pages (from-to) | 23-31 |
Number of pages | 9 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 144 |
DOIs | |
Publication status | Published - Oct 1 2016 |
Externally published | Yes |
Keywords
- Banach function spaces
- Grand variable exponent Lebesgue spaces
- Metric measure spaces
- Riesz–Kolmogorov theorem
ASJC Scopus subject areas
- Analysis
- Applied Mathematics