Xianjie Yan

activity

20162026

most citedVariable Weak Hardy Spaces and Their Applications

101 citations · 101 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2026

Real-Variable Theory of Hardy--Lorentz Spaces on Quasi-Ultrametric Spaces of Homogeneous Type with Reverse-Doubling Property

Chenfeng Zhu, Ryan Alvarado, Xianjie Yan +2

Let $(X, q, μ)$ be an ultra-RD-space with upper dimension $n \in (0, \infty)$ ; i.e., it is a quasi-ultrametric space of homogeneous type whose measure $μ$ satisfies an addition…

math.CA2024

The Variable Muckenhoupt Weight Revisited

Hongchao Jia, Xianjie Yan

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function and $X$ a ball quasi-Banach function space. In this paper, we first study the relationship between two kin…

math.FA2023

Fourier Transform of Anisotropic Hardy Spaces Associated with Ball Quasi-Banach Function Spaces and Its Applications to Hardy--Littlewood Inequalities

Chaoan Li, Xianjie Yan, Dachun Yang

Let $A$ be a general expansive matrix and $X$ be a ball quasi-Banach function space on $R^{n}$ , whose certain power (namely its convexification) supports a Fefferman--Stein v…

math.FA2023

Anisotropic Ball Campanato-Type Function Spaces and Their Applications

Chaoan Li, Xianjie Yan, Dachun Yang

Let $A$ be a general expansive matrix and let $X$ be a ball quasi-Banach function space on $R^{n}$ , which supports both a Fefferman--Stein vector-valued maximal inequality an…

math.FA2021

Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Characterizations of Maximal Functions, Decompositions, and Dual Spaces

Xianjie Yan, Ziyi He, Dachun Yang +1

Let $(X, ρ, μ)$ be a space of homogeneous type in the sense of Coifman and Weiss, and $Y (X)$ a ball quasi-Banach function space on $X$ , which support…

math.CA2016★ 101 cited

Variable Weak Hardy Spaces and Their Applications

Xianjie Yan, Dachun Yang, Wen Yuan +1

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function satisfying the globally log-Hölder continuous condition. In this article, the authors first introduce the…