English

On some improved weighted weak type inequalities

Classical Analysis and ODEs 2024-02-02 v1

Abstract

In this paper we obtain the sharp quantitative matrix weighted weak type bounds for the Christ--Goldberg maximal operator MW,pM_{W,p} in the case 1<p<21<p<2, improving a recent result by Cruz-Uribe and Sweeting. Also, in the scalar setting, we improve a weak type bound obtained in the aforementioned work for Calder\'on--Zygmund operators.

Keywords

Cite

@article{arxiv.2402.00506,
  title  = {On some improved weighted weak type inequalities},
  author = {Andrei K. Lerner and Kangwei Li and Sheldy Ombrosi and Israel P. Rivera-Ríos},
  journal= {arXiv preprint arXiv:2402.00506},
  year   = {2024}
}

Comments

21 pages

R2 v1 2026-06-28T14:34:22.935Z