Hardy martingales and Jensen's Inequality

Details Hardy martingales and Jensen's Inequality Hardy martingales and Jensen's Inequality

1995-03-16

arxiv.org/abs/math/9503213v2

Bull. Australian Math. Soc. 55, (1997), 185-195

Mathematics

Functional Analysis

Scientific paper

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.

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