English

A Decomposition for Hardy Martingales. Part II

Functional Analysis 2012-09-19 v1 Complex Variables

Abstract

We prove Davis and Garsia Inequalities for dyadic perturbations of Hardy Martingales. We apply those to estimate the L1L^1 distance of a dyadic martingale to the class of Hardy martingales. We revisit Bourgains embedding of L1L^1 into the quotient space L1/H1. L^1 / H^1 .

Cite

@article{arxiv.1209.3964,
  title  = {A Decomposition for Hardy Martingales. Part II},
  author = {Paul F. X. Müller},
  journal= {arXiv preprint arXiv:1209.3964},
  year   = {2012}
}
R2 v1 2026-06-21T22:07:17.450Z