Dachun Yang

activity

20242026

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3 papers · 1 filter

math.AP2026

Sharp Truncated Difference Estimates for Nonlocal Nonconvex Functionals Defined by Superlevel Sets

Feng Dai, Dachun Yang, Wen Yuan +1

Let $N \in N$ and $p \in [1, \infty)$ . In this article, we consider a family ${Φ_{λ, p}^{γ}}_{λ \in (0, \infty)}$ of nonlocal nonconvex functionals with a real parameter $γ$ and est…

math.FA2026

Local Matrix Muckenhoupt Weights and Quantitative Weighted Inequalities Achieving Global Best Known Exponents

Tuomas Hytönen, Dachun Yang, Wen Yuan +1

In this article, we give various real-variable properties of local Muckenhoupt matrix weights $W$ and establish the quantitative boundedness of several operators on local matrix-we…

math.FA2026

Weak-type characterizations of Sobolev and bounded variation spaces on metric measure spaces

Tuomas P. Hytönen, Dachun Yang, Wen Yuan +1

Given a complete doubling metric measure space $(X, ρ, μ)$ supporting a Poincaré inequality, we prove weak-type characterizations of the Sobolev space $W ˙^{1, p} (μ)$ and the spac…