Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO
Abstract
We study boundedness properties of a class of multiparameter paraproducts on the dual space of the dyadic Hardy space Hd1(TN), the dyadic product BMO space BMOd(TN). For this, we introduce a notion of logarithmic mean oscillation on the polydisc. We also obtain a result on the boundedness of iterated commutators on BMO([0,1]2).
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