Asymmetric Burkholder inequalities in noncommutative symmetric spaces

Published 13 Jan 2022 in math.OA and math.FA | (2201.05474v2)

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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