Dachun Yang

activity

20242026

collaborators

8 papers

cs.IT2026

Stable Image Reconstruction via Two-Parameter Power-Scale Variation Minimization

Ziwei Li, Wengu Chen, Huanmin Ge +2

In this article, we introduce a power-scale variation (PSV $_{a, p}$ ) with two tunable parameters: the sparsity-inducing exponent $p \in (0, 1]$ and the scaling factor $a \in (0, \infty)$ .…

cs.CR2026

Limit Properties at Critical Indices of Linear Canonical Riesz Potentials and Their Applications to Security of Multi-Image Encryption

Zunwei Fu, Dachun Yang, Shuhui Yang

In this article we introduce the linear canonical Riesz potential (for short, LCRP) and give its symbol in terms of linear canonical transforms. Driven by image processing, we esta…

math.FA2026

A Novel Two-Parameter Penalty: Relaxation Degree Analysis and Sparse Signal Recovery

Ziwei Li, Wengu Chen, Huanmin Ge +1

In this article, we introduce a nonconvex two-parameter penalty function $P_{a, p}$ , parameterized by $a \in (0, \infty)$ and $p \in (0, 1]$ , and the relaxation degree RD $_{P}$ for a separa…

math.AP2025

Robin Problems of Elliptic Equations on Rough Domains: Hölder Regularity, Green's Functions, and Harmonic Measures

Jiayi Wang, Dachun Yang, Sibei Yang

Let $n \geq 2$ and $s \in (n - 2, n)$ . Assume that $Ω \subset R^{n}$ is a one-sided bounded non-tangentially accessible domain with $s$ -Ahlfors regular boundary and $σ$ is the surf…

math.FA2025

Fractional Heat Semigroup Characterization of Distances from Functions in Lipschitz Spaces to Their Subspaces

Feng Dai, Eero Saksman, Dachun Yang +2

Let $Λ_{s}$ denote the inhomogeneous Lipschitz space of order $s \in (0, \infty)$ on $R^{n}$ . This article characterizes the distance $d(f, V)_{Λ_s}: = \inf_{g\in V} \|f-g\|_{Λ_s…

math.AP2025

Equivalent Characterizations and Applications of Fractional Sobolev Spaces with Partially Vanishing Traces on $(ε, δ, D)$ -Domains Supporting $D$ -Adapted Fractional Hardy Inequalities

Jun Cao, Dachun Yang, Qishun Zhang

Let $Ω \subset R^{n}$ be an $(ε, δ, D)$ -domain, with $ε \in (0, 1]$ , $δ \in (0, \infty]$ , and $D \subset \partial Ω$ being a closed part of $\partial Ω$ , which is a general open connec…

math.AP2025

Equivalent Characterizations and Their Applications of Solvability of $L^{p}$ Poisson--Robin(-Regularity) Problems on Rough Domains

Xuelian Fu, Dachun Yang, Sibei Yang

Let $n \geq 2$ , $Ω \subset R^{n}$ be a bounded one-sided chord arc domain, and $p \in (1, \infty)$ . In this article, we study the (weak) $L^{p}$ Poisson--Robin(-regularity) problem fo…

math.AP2024

Global BMO-Sobolev Estimates for Second-Order Linear Elliptic Equations on Lipschitz Domains

Hongjie Dong, Dachun Yang, Sibei Yang

Let $n \geq 2$ and $Ω \subset R^{n}$ be a bounded Lipschitz domain. In this article, we establish first-order global regularity estimates in the scale of BMO spaces on $Ω$ for…

Stable Image Reconstruction via Two-Parameter Power-Scale Variation Minimization

Limit Properties at Critical Indices of Linear Canonical Riesz Potentials and Their Applications to Security of Multi-Image Encryption

A Novel Two-Parameter Penalty: Relaxation Degree Analysis and Sparse Signal Recovery

Robin Problems of Elliptic Equations on Rough Domains: Hölder Regularity, Green's Functions, and Harmonic Measures

Fractional Heat Semigroup Characterization of Distances from Functions in Lipschitz Spaces to Their Subspaces

Equivalent Characterizations and Applications of Fractional Sobolev Spaces with Partially Vanishing Traces on (ε,δ,D)-Domains Supporting D-Adapted Fractional Hardy Inequalities

Equivalent Characterizations and Their Applications of Solvability of Lp Poisson--Robin(-Regularity) Problems on Rough Domains

Global BMO-Sobolev Estimates for Second-Order Linear Elliptic Equations on Lipschitz Domains

Equivalent Characterizations and Applications of Fractional Sobolev Spaces with Partially Vanishing Traces on $(ε, δ, D)$ -Domains Supporting $D$ -Adapted Fractional Hardy Inequalities

Equivalent Characterizations and Their Applications of Solvability of $L^{p}$ Poisson--Robin(-Regularity) Problems on Rough Domains