Upper endpoint estimates and extrapolation for commutators

Abstract

In this note we revisit the upper endpoint estimates for commutators following the line by Harboure, Segovia and Torrea. Relying upon the suitable BMO subspace suited for the commutator that was introduced by Accomazzo, we obtain a counterpart for commutators of the upper endpoint extrapolation result by Harboure, Macías and Segovia. Multilinear counterparts are provided as well.

This paper will appear in a special issue of Rev. Un. Mat. Argentina in honor of Pola Harboure. Some references were updated in this version

References in corpus (1)

• Weighted BMO estimates for singular integrals and endpoint extrapolation in Banach function spaces