Orlicz norm inequalities for operator-valued martingale transforms

Lin Yu

Statistics & Probability Letters, 2008, vol. 78, issue 16, 2664-2670

Abstract: The [Phi]-inequalities for the martingale transform operators with operator-valued multiplying sequence are proved. As an application, a new method to prove the [Phi]-inequalities between the maximal functions and the p-variation of Banach space-valued martingales is presented. Some geometric properties of the underlying Banach spaces are also considered.

Date: 2008
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