Hardy martingales and Jensen's Inequality
Functional Analysis
2008-02-03 v2
Abstract
We extend ideas of Garling to consider the so called Hardy martingales in a more general setting of H^p theory of compact abelian groups with ordered dual. As a consequence, we obtain a new proof of a result of Helson and Lowdenslager which generalizes Jensen's Inequality for H^1 functions.
Keywords
Cite
@article{arxiv.math/9503213,
title = {Hardy martingales and Jensen's Inequality},
author = {N. Asmar and Stephen J. Montgomery-Smith},
journal= {arXiv preprint arXiv:math/9503213},
year = {2008}
}