4 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…
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)…
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…