Jizheng Huang

activity

20122024

collaborators

5 papers

math.AP2024

Boundedness of fractional integrals and fractional derivatives on Laguerre Lipschitz spaces

He Wang, Jizheng Huang, Yu Liu

In this paper, we study the boundedness of a class of fractional integrals and derivatives associated with Laguerre polynomial expansions on Laguerre Lipschitz spaces. The consider…

math.FA2022

BV spaces and the perimeters related to Schrodinger operators with inverse-square potentials and applications to the rank-one theorem

Yang Han, Jizheng Huang, Pengtao Li +1

For $a \geq - (\frac{d}{2} - 1)^{2}$ and $2 σ = d - 2 - ((d - 2)^{2} + 4 a)^{1/2}$ , let $$\begin{cases}\mathcal{H}_{a}= - Δ+ \frac{a} {{{{ | x |}^2}}},\\ \mathcal{\widetilde{H}}_…

math.AP2019

Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations

Jizheng Huang, Pengtao Li, Yu Liu +1

Let $(M, d, μ)$ be a metric measure space with upper and lower densities: $$ \begin{cases} |||μ|||_β:=\sup_{(x,r)\in \mathbb M\times(0,\infty)} μ(B(x,r))r^{-β}<\infty;\\ |||…

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…