English

Sharp $A_1$ weighted estimates for vector valued operators

Classical Analysis and ODEs 2019-06-03 v1

Abstract

Given 1q<p<1\leq q<p<\infty quantitative weighted L^p estimates, in terms of Aq weights, for vector valued maximal functions, Calder\'on-Zygmund operators, commutators and maximal rough singular integrals are obtained. The results for singular operators will rely upon suitable convex body domination results, which in the case of commutators will be provided in this work, obtaining as a byproduct a new proof for the scalar case as well.

Keywords

Cite

@article{arxiv.1905.13684,
  title  = {Sharp $A_1$ weighted estimates for vector valued operators},
  author = {Joshua Isralowitz and Sandra Pott and Israel P. Rivera-Ríos},
  journal= {arXiv preprint arXiv:1905.13684},
  year   = {2019}
}

Comments

22 pages

R2 v1 2026-06-23T09:35:35.772Z