Logarithmic mean oscillation on the Polydisc, Multi-parameter paraproducts and iterated commutators
Classical Analysis and ODEs
2015-03-13 v2 Complex Variables
Functional Analysis
Abstract
We introduce another notion of bounded logarithmic mean oscillation in the N-torus and give an equivalent definition in terms of boundedness of multi-parameter paraproducts from the dyadic little BMO of Cotlar-Sadosky to the product BMO of Chang-Fefferman. We also obtain a sufficient condition for the boundedness of iterated commutators with Hilbert transforms betweeen the strong notions of these two spaces.
Keywords
Cite
@article{arxiv.1205.6328,
title = {Logarithmic mean oscillation on the Polydisc, Multi-parameter paraproducts and iterated commutators},
author = {Benoit F. Sehba},
journal= {arXiv preprint arXiv:1205.6328},
year = {2015}
}
Comments
To appear