48 citations · 88 across the 16 of their papers we have counts for
7 papers · 1 filter
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)…
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…
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…