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Compactness in the spaces of variable integrability and summability |
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| Authors: | Michał Dymek Przemysław Górka |
| Institution: | Department of Mathematics and Information Sciences, Warsaw University of Technology, Warsaw, Poland |
| Abstract: | We study totally bounded sets in the spaces of variable integrability and summability. The full characterization of these sets is given. Furthermore, the Sudakov theorem in the setting of the mixed Lebesgue sequence spaces is proven. |
| Keywords: | Lebesgue spaces with variable exponent mixed Lebesgue spaces totally bounded sets Sudakov theorem |