Hardy martingales and Jensen's Inequality
classification
🧮 math.FA
keywords
hardyinequalityjensenmartingalesabeliancalledcompactconsequence
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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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