A Decomposition for Hardy Martingales. Part II

Published 18 Sep 2012 in math.FA and math.CV | (1209.3964v1)

Abstract: We prove Davis and Garsia Inequalities for dyadic perturbations of Hardy Martingales. We apply those to estimate the $L¹ $ distance of a dyadic martingale to the class of Hardy martingales. We revisit Bourgains embedding of $L^1$ into the quotient space $ L¹ / H¹. $

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Paul F. X. Müller

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