48 citations · 88 across the 16 of their papers we have counts for
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math.CA2014
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…
math.CA2014★ 48 cited
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…
math.CA2014★ 2 cited
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…