Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO

Details Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO

2012-01-04

arxiv.org/abs/1201.1025v1

Mathematics

Classical Analysis and ODEs

24 pages

Scientific paper

We study boundedness properties of a class of multiparameter paraproducts on
the dual space of the dyadic Hardy space H_d^1(T^N), the dyadic product BMO
space BMO_d(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]^2).

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