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

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6 papers · 1 filter

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.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

Guorong Hu

In this paper, we give a Littlewood-Paley characterization for the Hölder-Zygmund spaces $C^{σ} (G)$ ( $0 < σ < \infty$ ) on a stratified Lie group $G$ .