Dachun Yang

activity

20092026

most citedVariable Weak Hardy Spaces and Their Applications

101 citations · 951 across the 150 of their papers we have counts for

collaborators

151 papers

math.CA2026

Capacitary Trapping and Brownian Escape: A Sharp Hardy Principle for Absorbing Media

Yiqun Chen, Jie Xiao, Dachun Yang +2

We study Brownian motion killed upon exiting arbitrary open sets $Ω \subset R^{n}$ , $n \in [3, \infty) \cap N$ . Let $α \in (0, 1]$ . The infimal radius $d_{α} (x)$ at which the abs…

math.FA2023★ 1 cited

Extension Theorem and Bourgain--Brezis--Mironescu-Type Characterization of Ball Banach Sobolev Spaces on Domains

Chenfeng Zhu, Dachun Yang, Wen Yuan

Let $Ω \subset R^{n}$ be a bounded $(ε, \infty)$ -domain with $ε \in (0, 1]$ , $X (R^{n})$ a ball Banach function space satisfying some extra mild assumpti…

math.FA2023

Brezis--Seeger--Van Schaftingen--Yung-Type Characterization of Homogeneous Ball Banach Sobolev Spaces and Its Applications

Chenfeng Zhu, Dachun Yang, Wen Yuan

Let $γ \in R ∖ {0}$ and $X (R^{n})$ be a ball Banach function space satisfying some extra mild assumptions. Assume that $Ω = R^{n}$ or $Ω\subset\mathbb{R}…

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

Hardy Spaces Associated with Non-Negative Self-Adjoint Operators and Ball Quasi-Banach Function Spaces on Doubling Metric Measure Spaces and Their Applications

Xiaosheng Lin, Dachun Yang, Sibei Yang +1

Let $(X, d, μ)$ be a doubling metric measure space in the sense of R. R. Coifman and G. Weiss, $L$ a non-negative self-adjoint operator on $L^{2} (X)$ satisfying the…

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…