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Compact embeddings of besov spaces involving only slowly varying smoothness

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Abstract

We characterize compact embeddings of Besov spaces B 0,b p,r (ℝn) involving the zero classical smoothness and a slowly varying smoothness b into Lorentz-Karamata spaces \({L_{p,q;\overline b }}\)(Ω), where is a bounded domain in ℝn and \(\overline b \) is another slowly varying function.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade de Aveiro, 3810-193, Aveiro, Portugal

    António Caetano

  2. Institute of Mathematics, Academy of Sciences of the Czech Republic, >Zitná 25, 115 67, Prague 1, Czech Republic

    Amiran Gogatishvili

  3. Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75, Prague 8, Czech Republic

    Bohumír Opic

Authors
  1. António Caetano
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  2. Amiran Gogatishvili
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  3. Bohumír Opic
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Correspondence to António Caetano.

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Caetano, A., Gogatishvili, A. & Opic, B. Compact embeddings of besov spaces involving only slowly varying smoothness. Czech Math J 61, 923–940 (2011). https://doi.org/10.1007/s10587-011-0060-8

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  • DOI: https://doi.org/10.1007/s10587-011-0060-8

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