Upper endpoint estimates and extrapolation for commutators

Authors

  • Kangwei Li Center for Applied Mathematics, Tianjin University, Tianjin 300072, The People’s Republic of China
  • Sheldy Ombrosi Departamento de Análisis Matemático y Matemática Aplicada. Facultad de Ciencias Matemáticas. Universidad Complutense (Madrid, Spain). Departamento de Matemática e Instituto de Matemática de Bahía Blanca. Universidad Nacional del Sur - CONICET (Bahía Blanca, Argentina).
  • Israel P. Rivera-Ríos Departamento de An´áisis Matem´áico, Estadística e Investigación Operativa y Matemática Aplicada. Facultad de Ciencias. Universidad de Málaga (Málaga, Spain). Departamento de Matemática. Universidad Nacional del Sur (Bahía Blanca, Argentina).

DOI:

https://doi.org/10.33044/revuma.4362

Abstract

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.

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References

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Photo of Eleonor Harboure, courtesy of Marcela Porta

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Published

2023-09-21

Issue

Vol. 66 No. 1 (2023): Special volume in honour of Eleonor Harboure (1948–2022)

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Article

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Copyright (c) 2023 Kangwei Li, Sheldy Ombrosi, Israel P. Rivera-Ríos

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