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A thin-thick Decomposition for Hardy Martingales

2010/09/19 by Paul F. X. Mueller, Mueller, Paul F. X.
Mathematics · Social Sciences · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #Urbanization and City Planning #math.FA

paper · pdf · doi:10.48550/arxiv.1009.3629

arxiv created 2010/09/19 · openalex publication_date 2010/09/19 · arxiv updated 2010/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove thin-thick decompositions, for the class of Hardy martingales and thereby strengthen its square function characterization. We apply the underlying method to several classical martingale inequalities, for which we give new proofs .

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