48 citations · 97 across the 22 of their papers we have counts for
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math.CA2018★ 2 cited
New Martingale Inequalities and Applications to Fourier Analysis
Guangheng Xie, Ferenc Weisz, Dachun Yang +1
Let be a probability space and be a Musielak-Orlicz function. In this article, the authors prove that the Doob max…
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…