This is an announcement for the paper "A decomposition for Hardy martingales. Part II" by Paul F. X. Mueller.
Abstract: We prove Davis and Garsia Inequalities for dyadic perturbations of Hardy Martingales. We apply those to estimate the $L^1 $ distance of a dyadic martingale to the class of Hardy martingales. We revisit Bourgains embedding of $L^1$ into the quotient space $ L^1 / H^1 . $
Archive classification: math.FA math.CV
Submitted from: pfxm@bayou.uni-linz.ac.at
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1209.3964
or