Quadratic $A_1$ bounds for commutators of singular integrals with BMO functions
Classical Analysis and ODEs
2011-04-07 v1
Abstract
For commutators of the form [b,T] where T is any Calderon--Zygmund operator and b is any BMO function we derive weighted quadratic type estimates in term of the A1 constant of the weight both in the Lp context or of LlogL type at the endpoint
Cite
@article{arxiv.1104.1069,
title = {Quadratic $A_1$ bounds for commutators of singular integrals with BMO functions},
author = {Carmen Ortiz-Caraballo},
journal= {arXiv preprint arXiv:1104.1069},
year = {2011}
}
Comments
to appear in Indiana Journal, part of PhD thesis