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.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…