Guangheng Xie

activity

20162023

most citedAtomic Characterizations of Weak Martingale Musielak--Orlicz Hardy Spaces and Their Applications

29 citations · 32 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.PR2023

Products and Commutators of Martingales in $H_{1}$ and $BMO$

Aline Bonami, Yong Jiao, Guangheng Xie +2

Let $f := (f_{n})_{n \in Z_{+}}$ and $g := (g_{n})_{n \in Z_{+}}$ be two martingales related to the probability space $(Ω, F, P)$ equipped with the filtration $(…

math.PR2019

Rosenthal's inequalities: $Δ -$ norms and quasi-Banach symmetric sequence spaces

Yong Jiao, Guangheng Xie, Fedor Sukochev +1

Let $X$ be a symmetric quasi-Banach function space with Fatou property and let $E$ be an arbitrary symmetric quasi-Banach sequence space. Suppose that $(f_{k})_{k \geq 0} \subset X$ is…

math.PR2016★ 1 cited

$Φ$ -moment inequalities for independent and freely independent random variables

Yong Jiao, Fedor Sukochev, Guangheng Xie +1

This paper is devoted to the study of $Φ$ -moments of sums of independent/freely independent random variables. More precisely, let $(f_{k})_{k = 1}^{n}$ be a sequence of positive (symmetr…

Products and Commutators of Martingales in H1​ and BMO

Rosenthal's inequalities: Δ−norms and quasi-Banach symmetric sequence spaces

Φ-moment inequalities for independent and freely independent random variables

Products and Commutators of Martingales in $H_{1}$ and $BMO$

Rosenthal's inequalities: $Δ -$ norms and quasi-Banach symmetric sequence spaces

$Φ$ -moment inequalities for independent and freely independent random variables