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arXiv · 2201.05474

Asymmetric Burkholder inequalities in noncommutative symmetric spaces

Lian Wu·Runlian Xia·Dejian Zhou
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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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Lian Wu, Runlian Xia, Dejian Zhou. 2022-01-13. Asymmetric Burkholder inequalities in noncommutative symmetric spaces. https://arxiv.org/abs/2201.05474

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