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Interpolation of compact bilinear operators among quasi‐Banach spaces and applications

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  • Fernando Cobos
  • Luz M. Fernández‐Cabrera
  • Antón Martínez

Abstract

We study the interpolation properties of compact bilinear operators by the general real method among quasi‐Banach couples. As an application we show that commutators of Calderón–Zygmund bilinear operators S:Lp×Lq→Lr are compact provided that 1/2

Suggested Citation

  • Fernando Cobos & Luz M. Fernández‐Cabrera & Antón Martínez, 2018. "Interpolation of compact bilinear operators among quasi‐Banach spaces and applications," Mathematische Nachrichten, Wiley Blackwell, vol. 291(14-15), pages 2168-2187, October.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:14-15:p:2168-2187
    DOI: 10.1002/mana.201700487
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    1. Fernando Cobos & Luz M. Fernández‐Cabrera & Antón Martínez, 2022. "On interpolation of weakly compact bilinear operators," Mathematische Nachrichten, Wiley Blackwell, vol. 295(7), pages 1279-1291, July.

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