Quadratic $A_1$ bounds for commutators of singular integrals with BMO functions

Details Quadratic $A_1$ bounds for commutators of singular integrals with BMO functions Quadratic $A_1$ bounds for commutators of singular integrals with BMO functions

2011-04-06

arxiv.org/abs/1104.1069v1

Mathematics

Classical Analysis and ODEs

to appear in Indiana Journal, part of PhD thesis

Scientific paper

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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