Jizheng Huang

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20122024

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math.CA2019

Capacity & Perimeter from $α$ -Hermite Bounded Variation

Jizheng Huang, Pengtao Li, Yu Liu

Let $H_{α} = Δ - (α - 1) ∣ x ∣^{α}$ be an $[1, \infty) ∋ α$ -Hermite operator for the hydrogen atom located at the origin in $R^{d}$ . In this paper, we are motivated by the classi…

math.CA2012

New Real-Variable Characterizations of Musielak-Orlicz Hardy Spaces

Yiyu Liang, Jizheng Huang, Dachun Yang

Let $φ : R^{n} \times [0, \infty) \to [0, \infty)$ be such that $φ (x, \cdot)$ is an Orlicz function and $φ (\cdot, t)$ is a Muckenhoupt $A_{\infty} (R^{n})$ weight. The Musiela…

Capacity & Perimeter from α-Hermite Bounded Variation

New Real-Variable Characterizations of Musielak-Orlicz Hardy Spaces

Capacity & Perimeter from $α$ -Hermite Bounded Variation