Liguang Liu

activity

20092026

most citedThe multilinear strong maximal function

57 citations · 140 across the 14 of their papers we have counts for

collaborators

14 papers

math.CA2026

Mixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian Manifolds

Liguang Liu, Yuhua Sun, Suqing Wu

Let $p_{1}, p_{2} \in (1, \infty)$ and $M = M_{1} \times M_{2}$ be the product of two geodesically complete Riemannian manifolds. In this paper, the authors first develop an anisotropic potential…

math.AP2025

Nontrivial nonnegative weak solutions to fractional $p$ -Laplace inequalities

Liguang Liu

For the nonlocal quasilinear fractional $p$ -Laplace operator $(- Δ)_{p}^{s}$ with $s \in (0, 1)$ and $p \in (1, \infty)$ , we investigate the nonexistence and existence of nontrivial nonnegat…

math.CA2018★ 45 cited

A Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type

Ziyi He, Yongsheng Han, Ji Li +3

Let $(X, d, μ)$ be a space of homogeneous type, with the upper dimension $ω$ , in the sense of R. R. Coifman and G. Weiss. Assume that $η$ is the smoothness index of the wavelets on $…

math.CA2018

New Calderón Reproducing Formulae with Exponential Decay on Spaces of Homogeneous Type

Ziyi He, Liguang Liu, Dachun Yang +1

Assume that $(X, d, μ)$ is a space of homogeneous type in the sense of Coifman and Weiss. In this article, motivated by the breakthrough work of P. Auscher and T. Hytönen on orthon…

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…

math.CA2017

Functional Calculus on BMO-type Spaces of Bourgain, Brezis and Mironescu

Liguang Liu, Dachun Yang, Wen Yuan

A nonlinear superposition operator $T_{g}$ related to a Borel measurable function $g : C \to C$ is defined via $T_{g} (f) := g \circ f$ for any complex-valued function $…