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arXiv · 1509.05242

Noncommutative martingale inequalities associated with convex functions

Zeqian Chen·Turdebek N. Bekjan
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Abstract

We report recent advances on noncommutative martingale inequalities associated with convex functions. These include noncommutative Burkholder-Gundy inequalities associated with convex functions due to the present authors and Dirksen and Ricard, noncommutative maximal inequalities associated with convex functions due to Os\c{e}kowski and the present authors, and noncommutative Burkholder and Junge-Xu inequalities associated with convex functions due to Randrianantoanina and Lian Wu. Some open problems for noncommutative martingales are also included.

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Zeqian Chen, Turdebek N. Bekjan. 2015-09-17. Noncommutative martingale inequalities associated with convex functions. https://arxiv.org/abs/1509.05242

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