Xiong Liu

collaborators

5 papers

math.FA2025

Matrix-Weighted Besov Spaces Associated with Non-isotropic Dilations

Xiong Liu, Wenhua Wang

Let $I^\pm \in R$ , $p \in [1, \infty)$ , $q \in (0, \infty]$ , $W$ be a matrix weight, and $A$ be an expansive dilation on $R^{d}$ . In this paper, the authors firstly i…

math.CV2025

A Malmquist-Yosida type theorem for Schwarzian differential equations

Xiong-Feng Liu

In this paper, we study a Malmquist-Yosida type theorem for Schwarzian differential equations \begin{equation}\label{1} S(f,z)^{m} = R(z,f) = \frac{P(z,f)}{Q(z,f)},\tag{+} \end{equ…

math.CA2025

Estimates for SchrÃ¶dinger Groups and Imaginary Power Operators on Weak Hardy Spaces Associated with Non-negative Self-adjoint Operators and Ball Quasi-Banach Function Spaces

Xiong Liu, Wenhua Wang

Let $(X, d, I^¼)$ be a doubling metric measure space, $L$ a non-negative self-adjoint operator on $L^{2} (X)$ satisfying the Davies-Gaffney estimate, and $X(\mathbb{X})…

math.CA2025

Real-variable Theory of Anisotropic Musielak-Orlicz-Lorentz Hardy Spaces with Applications to CalderÃ³n-Zygmund Operators

Xiong Liu, Wenhua Wang

Let $I ¨ : R^{n} \times [0, \infty) \to [0, \infty)$ be a Musielak-Orlicz function satisfying the uniformly anisotropic Muckenhoupt condition and be of uniformly lower typ…

math.FA2025

Local Hardy Spaces Associated with Ball Quasi-Banach Function Spaces and Non-negative Self-adjoint Operators on Spaces of Homogeneous Type and Their Applications

Xiong Liu, Wenhua Wang, Tiantian Zhao +1

Let $(X, d, μ)$ be a space of homogeneous type in the sense of Coifman--Weiss, let $X$ be a ball quasi-Banach function space on $X$ under suitable maximal-function an…