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arxiv: 1104.1069 · v1 · pith:JWX64L6Rnew · submitted 2011-04-06 · 🧮 math.CA

Quadratic A₁ bounds for commutators of singular integrals with BMO functions

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keywords commutatorsquadratictypeboundscalderon--zygmundconstantcontextderive
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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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