Interpolation and $Φ$-moment inequalities of noncommutative martingales - Mathematics > Operator AlgebrasReport as inadecuate




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Abstract: This paper is devoted to the study of $\Phi$-moment inequalities fornoncommutative martingales. In particular, we prove the noncommutative$\Phi$-moment analogues of martingale transformations, Stein-s inequalities,Khintchine-s inequalities for Rademacher-s random variables, andBurkholder-Gundy-s inequalities. The key ingredient is a noncommutative versionof Marcinkiewicz type interpolation theorem for Orlicz spaces which weestablish in this paper.



Author: Turdebek N. Bekjan, Zeqian Chen

Source: https://arxiv.org/



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