Abstract
We study boundedness properties of a class ofmultiparameter paraproducts on the dual space of the dyadic Hardy space H 1 d (T N), the dyadic product BMO space BMOd (T N). 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]N).
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