Xiong Liu

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math.FA2025

Matrix-Weighted Besov Spaces Associated with Non-isotropic Dilations

Xiong Liu, Wenhua Wang

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

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…