48 citations · 88 across the 16 of their papers we have counts for
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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 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…