Guorong Hu

activity

20152026

most citedFourier multipliers for Hardy spaces on graded Lie groups

2 citations · 2 across the 9 of their papers we have counts for

collaborators

9 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.FA2025

Besov and Triebel-Lizorkin spaces on homogeneous groups

Guorong Hu, David Rottensteiner, Michael Ruzhansky +1

This paper develops a theory of Besov spaces $B ˙_{p, q}^{σ} (N)$ and Triebel-Lizorkin spaces $F ˙_{p, q}^{σ} (N)$ on an arbitrary homogeneous group $N$ for the…

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.CV2020

Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in $C^{2 n}$

Peng Chen, Michael G. Cowling, Guorong Hu +1

Let $M^{(k)}$ , $k = 1, 2, \dots, n$ , be the boundary of an unbounded polynomial domain $Ω^{(k)}$ of finite type in $C^{2}$ , and let $□_{b}^{(k)}$ be the Kohn Laplacian on $M^{…

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.CA2017

Equivalence of Littlewood-Paley square function and area function characterizations of weighted product Hardy spaces associated to operators

Xuan Thinh Duong, Guorong Hu, Ji Li

Let $L_{1}$ and $L_{2}$ be non-negative self-adjoint operators acting on $L^{2} (X_{1})$ and $L^{2} (X_{2})$ , respectively, where $X_{1}$ and $X_{2}$ are spaces of homogeneous type.…

math.CA2017

Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group

Guorong Hu, Ji Li

We prove that the classical one-parameter convolution singular integrals on the Heisenberg group are bounded on multiparameter flag Hardy spaces, which satisfy `intermediate' dilat…

math.CA2015

Littlewood-Paley characterization of Hölder-Zygmund spaces on stratified Lie groups