Jizheng Huang

activity

20192024

collaborators

4 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…

Boundedness of fractional integrals and fractional derivatives on Laguerre Lipschitz spaces

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

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

Capacity & Perimeter from α-Hermite Bounded Variation

Capacity & Perimeter from $α$ -Hermite Bounded Variation