48 citations · 81 across the 13 of their papers we have counts for
14 papers
Talagrand type for noncommutative spaces
Sijie Luo, Yusen Wang, Dejian Zhou
Let be a semi-finite von Neumann algebra. We prove that has Talagrand type , where . As an consequence, th…
The Quantum KKL Inequality
Yong Jiao, Wenlong Lin, Sijie Luo +1
In this paper, we resolve the quantum KKL conjecture of Montanaro and Osborne \cite{MO2010} for quantum Boolean functions on the -qubit hypercube. More precisely, for every self…
Sharp Fractional Riesz Estimates on the Hypercube
Yong Jiao, Sijie Luo, Dmitriy Zanin +1
Let be the -dimensional hypercube equipped with the normalized uniform measure, let be the Walsh gradient and let be the Walsh Laplacian. For eve…
Large Deviation Inequalities for Noncommutative Martingales
Yong Jiao, Sijie Luo, Dejian Zhou
We establish noncommutative analogs of some well-known large deviation inequalities for noncommutative random variables. Firstly, for the noncommutative independent case, we charac…
Almost uniform convergence for noncommutative Vilenkin-Fourier series
Yong Jiao, Sijie Luo, Tiantian Zhao +1
In the present paper, we study almost uniform convergence for noncommutative Vilenkin-Fourier series. Precisely, we establish several noncommutative (asymmetric) maximal inequaliti…
Weighted norm estimates of noncommutative Calderón-Zygmund operators
Wenfei Fan, Yong Jiao, Lian Wu +1
This paper is devoted to studying weighted endpoint estimates of operator-valued singular integrals. Our main results include weighted weak-type estimate of noncommutative…
Quantum KKL-type Inequalities Revisited
Yong Jiao, Wenlong Lin, Sijie Luo +1
In the present paper, we develop the random restriction method in the quantum framework. By applying this method, we establish the quantum Eldan-Gross inequality, the quantum Talag…
Products and Commutators of Martingales in and
Aline Bonami, Yong Jiao, Guangheng Xie +2
Let and be two martingales related to the probability space equipped with the filtration $(…
Asymmetric Burkholder inequalities in noncommutative symmetric spaces
Lian Wu, Runlian Xia, Dejian Zhou
In this paper, we establish noncommutative Burkholder inequalities with asymmetric diagonals in symmetric operator spaces. Our proof mainly relies on a new complex interpolation re…
2-Co-lacunary sequences in noncommutative symmetric Banach spaces
Fedor Sukochev, Dejian Zhou
We characterize noncommutative symmetric Banach spaces for which every bounded sequence admits either a convergent subsequence, or a -co-lacunary subsequence. This extends the c…
Square functions for noncommutative differentially subordinate martingales
Yong Jiao, Narcisse Randrianantoanina, Lian Wu +1
We prove inequalities involving noncommutative differentially subordinate martingales. More precisely, we prove that if is a self-adjoint noncommutative martingale and is w…
Variable Martingale Hardy Spaces and Their Applications in Fourier Analysis
Yong Jiao, Ferenc Weisz, Dejian Zhou +1
Let be a measurable function defined on a probability space satisfying . We investigate five…
Johnson-Schechtman inequalities for noncommutative martingales
Yong Jiao, Fedor Sukochev, Dmitriy Zanin +1
In this paper we study Johnson-Schechtman inequalities for noncommutative martingales. More precisely, disjointification inequalities of noncommutative martingale difference sequen…
Martingale Hardy spaces with variable exponents
Yong Jiao, Dejian Zhou, Zhiwei Hao +1
In this paper, we introduce Hardy spaces with variable exponents defined on a probability space and develop the martingale theory of variable Hardy spaces. We prove the weak type a…