Jun Cao

activity

20112026

most citedMusielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates

81 citations · 127 across the 14 of their papers we have counts for

collaborators

14 papers

math.AP2026

Perturbed Dyadic Cubes and Quantitative Estimates for Schrödinger Operators with Potentials in $R H^{n /2}$

Jun Cao, Cheng Chen, Chaohong Deng +1

Let $L := - Δ + V$ be a Schrödinger operator on the Euclidean space $R^{n}$ with potential $V$ in the reverse Hölder class $R H^{n /2}$ satisfying some mild assumptions that $V$ ne…

math.AP2025

Equivalent Characterizations and Applications of Fractional Sobolev Spaces with Partially Vanishing Traces on $(ε, δ, D)$ -Domains Supporting $D$ -Adapted Fractional Hardy Inequalities

Jun Cao, Dachun Yang, Qishun Zhang

Let $Ω \subset R^{n}$ be an $(ε, δ, D)$ -domain, with $ε \in (0, 1]$ , $δ \in (0, \infty]$ , and $D \subset \partial Ω$ being a closed part of $\partial Ω$ , which is a general open connec…

math.DG2021★ 3 cited

Hessian heat kernel estimates and Calderón-Zygmund inequalities on complete Riemannian manifolds

Jun Cao, Li-Juan Cheng, Anton Thalmaier

We address some fundamental questions concerning geometric analysis on Riemannian manifolds. It has been asked whether the $L^{p}$ -Calderón-Zygmund inequalities extend to a reasonabl…

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.CA2017

Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces

Jun Cao, Liguang Liu, Dachun Yang +1

For any $p \in (0, 1]$ , let $H^{Φ_{p}} (R^{n})$ be the Musielak-Orlicz Hardy space associated with the Musielak-Orlicz growth function $Φ_{p}$ , defined by setting, for any $x\in\m…

Perturbed Dyadic Cubes and Quantitative Estimates for Schrödinger Operators with Potentials in RHn/2

Equivalent Characterizations and Applications of Fractional Sobolev Spaces with Partially Vanishing Traces on (ε,δ,D)-Domains Supporting D-Adapted Fractional Hardy Inequalities