Yu Liu

activity

20192022

most citedGaussian Estimates for Heat Kernels of Higher Order Schrödinger Operators with Potentials in Generalized Schechter Classes

1 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

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.AP2021★ 1 cited

Corrigendum to "Hardy Spaces $H_{L}^{1} (R^{n})$ Associated to Schrödinger Type Operators $(- Δ)^{2} + V^{2}$ " [Houston J. Math 36 (4) (2010), 1067-1095]

Jun Cao, Yu Liu, Dachun Yang

We rectify an incorrect citation of the reference in obtaining the Gaussian upper bound for heat kernels of the Schrödinger type operators $(- Δ)^{2} + V^{2}$ .

math.AP2020★ 1 cited

Gaussian Estimates for Heat Kernels of Higher Order Schrödinger Operators with Potentials in Generalized Schechter Classes

Jun Cao, Yu Liu, Dachun Yang +1

Let $m \in N$ , $P (D) := \sum_{∣ α ∣ = 2 m} (- 1)^{m} a_{α} D^{α}$ be a $2 m$ -order homogeneous elliptic operator with real constant coefficients on $R^{n}$ , and $V$ a measurable functi…

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…

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

Corrigendum to "Hardy Spaces HL1​(Rn) Associated to Schrödinger Type Operators (−Δ)2+V2" [Houston J. Math 36 (4) (2010), 1067-1095]

Gaussian Estimates for Heat Kernels of Higher Order Schrödinger Operators with Potentials in Generalized Schechter Classes

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

Capacity & Perimeter from α-Hermite Bounded Variation

Corrigendum to "Hardy Spaces $H_{L}^{1} (R^{n})$ Associated to Schrödinger Type Operators $(- Δ)^{2} + V^{2}$ " [Houston J. Math 36 (4) (2010), 1067-1095]

Capacity & Perimeter from $α$ -Hermite Bounded Variation