Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839169 | Nonlinear Analysis: Theory, Methods & Applications | 2016 | 9 Pages |
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.
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Authors
Przemysław Górka, Humberto Rafeiro,