English

Upper endpoint estimates and extrapolation for commutators

Classical Analysis and ODEs 2024-06-25 v2

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, Mac\'ias and Segovia. Multilinear counterparts are provided as well.

Cite

@article{arxiv.2210.07064,
  title  = {Upper endpoint estimates and extrapolation for commutators},
  author = {Kangwei Li and Sheldy Ombrosi and Israel P. Rivera-Ríos},
  journal= {arXiv preprint arXiv:2210.07064},
  year   = {2024}
}

Comments

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

R2 v1 2026-06-28T03:33:38.072Z