48 citations · 97 across the 22 of their papers we have counts for
9 papers · 1 filter
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 $(…
Rosenthal's inequalities: norms and quasi-Banach symmetric sequence spaces
Yong Jiao, Guangheng Xie, Fedor Sukochev +1
Let be a symmetric quasi-Banach function space with Fatou property and let be an arbitrary symmetric quasi-Banach sequence space. Suppose that is…
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…
Weighted estimates for positive operators and Doob maximal operators on filtered measure spaces
Wei Chen, Chunxiang Zhu, Yahui Zuo +1
We characterize strong type and weak type inequalities with two weights for positive operators on filtered measure spaces. These estimates are probabilistic analogues of two-weight…
Weighted estimates for the bilinear maximal operator on filtered measure spaces
Wei Chen, Yong Jiao
Assuming the bilinear reverse Holder's condition, we character weighted inequalities for the bilinear maximal operator on filtered measure spaces. We also obtain Hytonen-Perez type…
Measure-Valued Generators of General Piecewise Deterministic Markov Processes
Zhaoyang Liu, Yong Jiao, Guoxin Liu
We consider a piecewise-deterministic Markov process (PDMP) with general conditional distribution of inter-occurrence time, which is called a general PDMP here. Our purpose is to e…
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…
-moment inequalities for independent and freely independent random variables
Yong Jiao, Fedor Sukochev, Guangheng Xie +1
This paper is devoted to the study of -moments of sums of independent/freely independent random variables. More precisely, let be a sequence of positive (symmetr…
Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory
Yong Jiao, Fedor Sukochev, Dmitriy Zanin
We prove disjointification inequalities due to Johnson and Schechtman for noncommutative random variables independent in the sense of Junge and Xu. In the same setting, we also pro…