English

A sparse approach to mixed weak type inequalities

Classical Analysis and ODEs 2018-12-20 v1

Abstract

In this paper we provide some quantitative mixed-type estimates assuming conditions that imply that uvAuv\in A_{\infty} for Calder\'on-Zygmund operators, rough singular integrals and commutators. The main novelty of this paper lies in the fact that we rely upon sparse domination results, pushing an approach to endpoint estimates that was introduced by Domingo-Salazar, Lacey and Rey and extended in works by Lerner, Ombrosi and the second author and Li, Perez, the second author and Roncal.

Keywords

Cite

@article{arxiv.1812.08023,
  title  = {A sparse approach to mixed weak type inequalities},
  author = {Marcela Caldarelli and Israel P. Rivera-Ríos},
  journal= {arXiv preprint arXiv:1812.08023},
  year   = {2018}
}
R2 v1 2026-06-23T06:47:58.546Z