Martingale transforms and Hardy spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1992 English Publisher:Springer Science and Business Media LLCJournal:Probability Theory and Related Fields, volume 91, pages 399-404 (issn: 0178-8051, eissn: 1432-2064,

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Authors: Chao, J.-A.; Long, R.-L.;

doi: 10.1007/bf01192064

Martingale transforms and Hardy spaces

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Abstract

Burkholder's martingale transforms are especially useful in studying ``predictable'' martingale Hardy spaces. ``Characterizations'' of such spaces via martingale transforms are provided. In particular, it is shown that for \(0

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Keywords

\(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Hardy spaces, Inequalities; stochastic orderings, Burkholder's martingale transforms, Martingales with discrete parameter

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