Qing Hong

activity

20152026

most citedFourier multipliers for Hardy spaces on graded Lie groups

2 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2026

Lipschitz spaces adapted to Schrödinger operators on the Heisenberg group

Qing Hong, Xiuzhen Hou, Guorong Hu

Let $L = - Δ_{H^{n}} + V$ be the Schödinger operator on the Heisenberg group $H^{n}$ , where $Δ_{H^{n}}$ is the sub-Laplacian, and $V$ is a nonnegative potential b…

math.CA2026

Littlewood-Paley and Carleson measure characterizations of Lipschitz spaces adapted to Schrödinger operators

Qing Hong, Yanfang Xu, Guorong Hu

Let $L = - Δ + V$ be a Schrödinger operator on $R^{n}$ , $n \geq 3$ , with the potential $V$ being nonnegative and belonging to the reverse Hölder class $R H_{q}$ for some $q > n /2$ .…

math.CA2021★ 2 cited

Fourier multipliers for Hardy spaces on graded Lie groups

Qing Hong, Guorong Hu, Michael Ruzhansky

In this paper, we investigate the $H^{p} (G) \to L^{p} (G)$ , $0 < p \leq 1$ , boundedness of multiplier operators defined via group Fourier transform on a graded Lie group $G$ , whe…

math.CA2019

Continuous characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators

Qing Hong, Guorong Hu

Let $(M, ρ, μ)$ be a metric measure space satisfying the doubling, reverse doubling and non-collapsing conditions, and $L$ be a self-adjoint operator on $L^{2} (M, d μ)$ whose…

math.AP2015★ 1 cited

$L^{p}$ Boundedness of rough Bi-parameter Fourier Integral Operators

Qing Hong, Guozhen Lu, Lu Zhang

In this paper, we will investigate the boundedness of the bi-parameter Fourier integral operators (or FIOs for short) of the following form: $$T(f)(x)=\frac{1}{(2π)^{2n}}\int_{\mat…

Lipschitz spaces adapted to Schrödinger operators on the Heisenberg group

Littlewood-Paley and Carleson measure characterizations of Lipschitz spaces adapted to Schrödinger operators

Fourier multipliers for Hardy spaces on graded Lie groups

Continuous characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators

Lp Boundedness of rough Bi-parameter Fourier Integral Operators

$L^{p}$ Boundedness of rough Bi-parameter Fourier Integral Operators