48 citations · 88 across the 16 of their papers we have counts for
16 papers
Weighted Estimation by Discrete-time Sparse Domination on Martingale Spaces
Wei Chen, Chaoyue Zhang, Gege Zhang
Lacey used sparse domination to study the sharp weighted norm estimate of the maximal function of predictable multipliers in discrete time filtration spaces. Domelevo, Petermichl,…
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…
Characterizations of Weights in Martingale Spaces
Jie Ju, Wei Chen, Jingya Cui +1
Grafakos systematically proved that weights have different characterizations for cubes in Euclidean spaces in his classical text book. Very recently, Duoandikoetxea, Mar…
A Note on the Boundedness of Doob Maximal Operators on a Filtered Measure Space
Wei Chen, Jingya Cui
Let be the Doob maximal operator on a filtered measure space and let be an weight with . We try proving that \begin{equation}\lVert M f\rVert _{L ^{p}(v)…
Restricted testing conditions for the multilinear maximal operator
Ruijuan Chen, Wei Chen, Fanliang Kong
Restricted testing conditions were considered recently. For the maximal operator, Li and Sawyer first obtained parental testing condition. Later, they showed that it suffices to re…
Endpoint sparse bounds for Walsh-Fourier multipliers of Marcinkiewicz type
Wei Chen, Amalia Culiuc, Francesco Di Plinio +2
We prove endpoint-type sparse bounds for Walsh-Fourier Marcinkiewicz multipliers and Littlewood-Paley square functions. These results are motivated by conjectures of Lerner in the…
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…
Weighted estimates for the multilinear maximal function on the upper half-spaces
Wei Chen, Chunxiang Zhu
For a general dyadic grid, we give a Calderón-Zygmund type decomposition, which is the principle fact about the multilinear maximal function on the upper half-spaces…
Martingale Inequalities in Variable Exponent Hardy spaces with
Peide Liu, Wei Chen
We investigate the properties of the variable Lebesgue spaces with quasi-norm on a probability space, and give the atomic decompositions suited to the variable exponent martingale…
A Characterization of BMO^α-martingale spaces by fractional Carleson measures
Chao Zhang, Wei Chen, Peide Liu
We give a characterization of -martingale spaces by using fractional Carleson measures. We get the boudedness of martingale transform and square function on -martinga…
Weighted inequlities for a generalized dyadic maximal operator involving the infinite product
Wei Chen, Ruijuan Chen, Chao Zhang
We define a generalized dyadic maximal operator involving the infinite product and discuss weighted inequalities for the operator. A formulation of the Carleson embedding theorem i…
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…
Holder's inequalities involving the infinite product and their applications in martingale spaces
Wei Chen, Longbin Jia, Yong Jiao
We give Hölder's inequalities for integral and conditional expectation involving the infinite product. Moreover, a generalized Doob maximal operator is introduced and weighted ineq…
Weighted norm inequalities for multisublinear maximal operator in martingale spaces
Wei Chen, Peide Liu
Let be weights and Suppose that and For the multisublinear maximal oper…
Weighted estimates for the multilinear maximal function
Wei Chen, Wendolín Damián
A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows to obtain a multilinear analogue of Sawyer's two weight theorem for the multisubli…