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• W2022229881 abstract "We prove a weak-type (1, 1) inequality involving conditioned versions of square functions for martingales in noncommutative $L^p$-spaces associated with finite von Neumann algebras. As application, we determine the optimal orders for the best constants in the noncommutative Burkholder/Rosenthal inequalities from [Ann. Probab. 31 (2003) 948--995]. We also discuss BMO-norms of sums of noncommuting order-independent operators." @default.
• W2022229881 created "2016-06-24" @default.
• W2022229881 creator A5068059294 @default.
• W2022229881 date "2007-05-01" @default.
• W2022229881 modified "2023-09-27" @default.
• W2022229881 title "Conditioned square functions for noncommutative martingales" @default.
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• W2022229881 doi "https://doi.org/10.1214/009117906000000656" @default.
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