22 citations · 56 across the 16 of their papers we have counts for
18 papers
The Sharp Scale Inequality for the Schatten Trace Class
Yong Jiao, Sijie Luo, Lian Wu
In this paper, we establish the metric cotype inequality for the Schatten trace class at the optimal order of the scaling parameter. More precisely, for every integer $…
Towards Finite Satisfiability of PDL with Loops
Bartosz Jan Bednarczyk, Mikołaj Swoboda
Propositional Dynamic Logic (PDL) is a well-established modal logic of programs. Among its many extensions, the loop operator stands out for capturing the cyclic behaviour of progr…
Sharp weighted norm estimates for martingale square functions
Wei Chen, Yong Jiao, Xingyan Quan +1
This paper is devoted to the study of quantitative weighted norm estimates for martingale square functions in both scalar-weighted and matrix-weighted settings. In particular, we i…
Noncommutative Stein's maximal spherical means
Li Wei, Li Wenjuan, Liu Jie +1
Based on a proper hypothesis on the noncommutative Fourier integral operators, we establish in this paper the strong-type (with ) estimates for the oper…
The sharp weighted maximal inequalities for noncommutative martingales
Tomasz Gałązka, Yong Jiao, Adam Osękowski +1
The purpose of the paper is to establish weighted maximal -inequalities in the context of operator-valued martingales on semifinite von Neumann algebras. The main emphasis is…
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…
Distributional inequalities for noncommutative martingales
Yong Jiao, Fedor Sukochev, Lian Wu +1
We establish distributional estimates for noncommutative martingales, in the sense of decreasing rearrangements of the spectra of unbounded operators, which generalises the study o…
A q-atomic decomposition of weighted tent spaces on spaces of homogeneous type and its application
Liang Song, Liangchuan Wu
The theory of tent spaces on was introduced by Coifman, Meyer and Stein, including atomic decomposition, duality theory and so on. Russ generalized the atomic decomp…
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…
Noncommutative Good- Inequalities
Yong Jiao, Adam Osekowski, Lian Wu
We propose a novel approach in noncommutative probability, which can be regarded as an analogue of good- inequalities from the classical case due to Burkholder and Gundy (Acta M…
Noncommutative Davis type decompositions and applications
Narcisse Randrianantoanina, Lian Wu, Quanhua Xu
We prove the noncommutative Davis decomposition for the column Hardy space $\H_p^c$ for all . A new feature of our Davis decomposition is a simultaneous control of $\H_1…
Exponential-square integrability, weighted inequalities for the square functions associated to operators and applications
Peng Chen, Xuan Thinh Duong, Liangchuan Wu +1
Let be a metric space with a doubling measure. Let be a nonnegative self-adjoint operator acting on , hence generates an analytic semigroup . Assume th…
Noncommutative Burkholder/Rosenthal inequalities associated with convex functions
Narcisse Randrianantoanina, Lian Wu
We prove noncommutative martingale inequalities associated with convex functions. More precisely, we obtain -moment analogues of the noncommutative Burkholder inequalities and t…
Noncommutative Fractional integrals
Narcisse Randrianantoanina, Lian Wu
Let $\M$ be a hyperfinite finite von Nemann algebra and $(\M_k)_{k\geq 1}$ be an increasing filtration of finite dimensional von Neumann subalgebras of $\M$. We investigate abstrac…
Martingale inequalities in noncommutative symmetric spaces
Narcisse Randrianantoanina, Lian Wu
We provide generalizations of Burkholder's inequalities involving conditioned square functions of martingales to the general context of martingales in noncommutative symmetric spac…
The predual and John-Nirenberg inequalities on generalized BMO martingale spaces
Yong Jiao, Anming Yang, Lian Wu +1
In this paper we introduce the generalized BMO martingale spaces by stopping time sequences, which enable us to characterize the dual spaces of martingale Hardy-Lorentz spaces $H_{…
Weak Orlicz-Hardy Martingale Spaces
Yong Jiao, Lian Wu
In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established. W…