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A decomposition for Hardy martingales II

Published online by Cambridge University Press:  02 June 2014

PAUL F. X. MÜLLER
PAUL F. X. MÜLLER*
Affiliation:
Department of Mathematics, J. Kepler Universität Linz, A-4040 Linz, Austria. e-mail: pfxm@bayou.uni-linz.ac.at
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Abstract

We prove Davis and Garsia Inequalities for dyadic perturbations of Hardy martingales and show that those inequalities play a substantial role in the proof of Bourgain's [1] embedding L1 ↪ L1/H10. This paper continues [17] on Davis and Garsia Inequalities (DGI).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 157 , Issue 2 , September 2014 , pp. 189 - 207
Copyright
Copyright © Cambridge Philosophical Society 2014 

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References

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