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Asymmetric Burkholder inequalities in noncommutative symmetric spaces

2022/01/13 by Wu, Lian, Xia, Runlian, Zhou, Dejian
#46L52 #46L53 #60G42 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2201.05474

Abstract

In this paper, we establish noncommutative Burkholder inequalities with asymmetric diagonals in symmetric operator spaces. Our proof mainly relies on a new complex interpolation result on asymmetric vector valued spaces and a duality approach. We include as well the asymmetric versions of noncommutative Johnson-Schechtman inequalities.

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