Asymmetric Burkholder inequalities in noncommutative symmetric spaces
Operator Algebras
2023-05-10 v2 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2201.05474,
title = {Asymmetric Burkholder inequalities in noncommutative symmetric spaces},
author = {Lian Wu and Runlian Xia and Dejian Zhou},
journal= {arXiv preprint arXiv:2201.05474},
year = {2023}
}