Upper endpoint estimates and extrapolation for commutators

Kangwei Li ^[1] ; Sheldy Ombrosi ^[2] ; Rivera Ríos, Israel P. ^[3]
1. [1] Tianjin University
  
  Tianjin University
  
  China
2. [2] Universidad Complutense de Madrid
  
  Universidad Complutense de Madrid
  
  Madrid, España
3. [3] Universidad de Málaga
  
  Universidad de Málaga
  
  Málaga, España
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Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 66, Nº. 1, 2023, págs. 213-228
Idioma: inglés
DOI: 10.33044/revuma.4362
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Resumen
- In this note we revisit the upper endpoint estimates for commutators following the line by Harboure, Segovia, and Torrea [Illinois J. Math. 41 no. 4 (1997), 676–700]. Relying upon the suitable BMO subspace suited for the commutator that was introduced in Accomazzo's PhD thesis (2020), we obtain a counterpart for commutators of the upper endpoint extrapolation result by Harboure, Macías and Segovia [Amer. J. Math. 110 no. 3 (1988), 383–397]. Multilinear counterparts are provided as well.