A note on extrapolation of compactness

• Liu, Shenyu ^[1] ; Wu, Huoxiong ^[1] ; Yang, Dongyong ^[1]
  1. [1] Xiamen University

     Xiamen University

     China

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 2, 2023, págs. 375-390
• Idioma: inglés
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• Resumen

  • This note is devoted to the study of Hytönen’s extrapolation theorem of compactness on weighted Lebesgue spaces. Two criteria of compactness of linear operators in the two-weight setting are obtained. As applications, we obtain two-weight compactness of commutators of Calderón-Zygmund operators, fractional integrals and bilinear Calderón-Zygmund operators.