A Decomposition for Hardy Martingales. Part II

2012/09/18 by Paul F. X. Müller, Müller, Paul F. X.
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #math.CV #math.FA

paper · pdf · doi:10.48550/arxiv.1209.3964

arxiv created 2012/09/18 · arxiv updated 2012/09/19

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 L¹ into the quotient space L¹ / H¹ .

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