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

collaborators

6 papers

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.CA2019

Localized John--Nirenberg--Campanato Spaces

Jingsong Sun, Guangheng Xie, Dachun Yang

Let $p \in (1, \infty)$ , $q \in [1, \infty)$ , $s \in Z_{+}$ , $α \in [0, \infty)$ and $X$ be $R^{n}$ or a cube $Q_{0} ⫋ R^{n}$ . In this article, the autho…

math.CA2018★ 29 cited

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

Guangheng Xie, Dachun Yang

Let $(Ω, F, P)$ be a probability space and $φ : Ω \times [0, \infty) \to [0, \infty)$ be a Musielak--Orlicz function. In this article, the authors establish the atomic…

math.CA2018★ 2 cited

New Martingale Inequalities and Applications to Fourier Analysis

Guangheng Xie, Ferenc Weisz, Dachun Yang +1

Let $(Ω, F, P)$ be a probability space and $φ : Ω \times [0, \infty) \to [0, \infty)$ be a Musielak-Orlicz function. In this article, the authors prove that the Doob max…

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…