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Compactness in the spaces of variable integrability and summability

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  • Michał Dymek
  • Przemysław Górka

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.

Suggested Citation

  • Michał Dymek & Przemysław Górka, 2023. "Compactness in the spaces of variable integrability and summability," Mathematische Nachrichten, Wiley Blackwell, vol. 296(9), pages 4317-4334, September.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:9:p:4317-4334
    DOI: 10.1002/mana.202200126
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    References listed on IDEAS

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    1. Alexandre Almeida & Lars Diening & Peter Hästö, 2018. "Homogeneous variable exponent Besov and Triebel–Lizorkin spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 291(8-9), pages 1177-1190, June.
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