Endpoint Estimates of Commutators of Singular Integrals vs. Conditions on the Symbol


Endpoint estimates of commutators \(T_b\) of singular integrals T, are studied over general spaces that include, in particular, BMO and Lipschitz spaces. We also characterize the conditions of the symbol b in order to obtain the boundedness of the commutators of all Riesz transforms between these spaces. Finally, we apply these results over several interesting known spaces.

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We express ours thanks to the referees for their careful reading and their useful suggestions to improve the presentation of this paper.

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Correspondence to Guillermo Flores.

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This research was partially supported by grants from CONICET (Argentina), SeCyT (Universidad Nacional de Córdoba) and the Universidad Nacional del Litoral.

Communicated by Winfried Sickel.

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Ferreyra, E., Flores, G., Ramseyer, M. et al. Endpoint Estimates of Commutators of Singular Integrals vs. Conditions on the Symbol. J Fourier Anal Appl 26, 12 (2020) doi:10.1007/s00041-019-09714-9

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  • Commutators
  • Singular integrals
  • General weighted Lipschitz and BMO spaces
  • Weighted inequalities

Mathematics Subject Classification

  • 30H35
  • 42B25
  • 42B35