Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO
Classical Analysis and ODEs
2012-01-06 v1 Complex Variables
Functional Analysis
Abstract
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).
Cite
@article{arxiv.1201.1025,
title = {Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO},
author = {Sandra Pott and Benoit Sehba},
journal= {arXiv preprint arXiv:1201.1025},
year = {2012}
}
Comments
24 pages