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most citedBurkholder-Gundy-Davis Inequality in Martingale Hardy Spaces with Variable Exponent

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math.PR2016

Martingale Inequalities in Variable Exponent Hardy spaces with $0 < p^{-} \leq p^{+} < \infty$

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…

math.PR2014

A Characterization of BMO^α-martingale spaces by fractional Carleson measures

Chao Zhang, Wei Chen, Peide Liu

We give a characterization of $B M O^{α}$ -martingale spaces by using fractional Carleson measures. We get the boudedness of martingale transform and square function on $B M O^{α}$ -martinga…

Martingale Inequalities in Variable Exponent Hardy spaces with 0<p−≤p+<∞

A Characterization of BMO^α-martingale spaces by fractional Carleson measures

Martingale Inequalities in Variable Exponent Hardy spaces with $0 < p^{-} \leq p^{+} < \infty$