Abstract
We study boundedness properties of a class ofmultiparameter 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] (N) ).
| Original language | English |
|---|---|
| Pages (from-to) | 1-27 |
| Journal | Journal d'Analyse Mathematique |
| Volume | 117 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2012 |
Subject classification (UKÄ)
- Mathematical Sciences