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Article Dans Une Revue Illinois Journal of Mathematics Année : 2009

Noncommutative extrapolation theorems and applications

Ying Hu
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Résumé

In this paper, we prove some noncommutative analogues of Yano's classical extrapolation theorem. Applying one of them to noncommutative martingales, we obtain a maximal inequality for noncommutative martingales from Llog2 L to L1. Moreover, the exponent 2 is optimal. We also obtain the noncommutative analogue of the classical theorem of Burkholder and Chow on the iterations of two conditional expectations.
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hal-00772808 , version 1 (11-01-2013)

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  • HAL Id : hal-00772808 , version 1

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Ying Hu. Noncommutative extrapolation theorems and applications. Illinois Journal of Mathematics, 2009, 53 (2), pp.463-482. ⟨hal-00772808⟩
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