22 research outputs found
Logarithmic Bloch spaces in the polydisc, endpoint results for Hankel operators and pointwise multipliers
We define two notions of Logarithmic Bloch space in the polydisc for which we
provide equivalent definitions in terms of symbols of bounded Hankel operators.
We also provide a full characterization of the pointwise multipliers between
two different Bloch spaces of the unit polydisc
Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO
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).Comment: 24 page