Quadratic A1A_1 bounds for commutators of singular integrals with BMO functions

preprint2011arXivOpen access

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

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