Author

Da-Chun Yang

h-index 2 View on Semantic Scholar

We have 2 of 8 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

Sharp Quantitative Matrix-Weighted Estimates for Fractional Integrals and Sobolev Inequalities

Let $\alpha\in(0,n)$, $p\in(1,\frac{n}{\alpha})$, $q:=\frac{np}{n-\alpha p}$, and $W\in\mathscr A_{p,q}$. We establish the following quantitative matrix-weighted estimate for the fractional integral $I_\alpha$: for any $\vec{f}\in L^p(W^p)$, \begin{align*} \left\|I_\alpha\vec f\right\|_{L^q(W^q)} \lesssim[W]_{\mathscr...

Da-Chun Yang, Wen Yuan, Ming-Dong Zhang · 0 citations

Preprint Aug 2026

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

Given a complete doubling metric measure space $(X,\rho,\mu)$ supporting a Poincar\'e inequality, we prove weak-type characterizations of the Sobolev space $\dot{W}^{1,p}(\mu)$ and the space of functions of bounded variation, achieving a full analogy in general Poincar\'e spaces with the Euclidean results of Brezis et...

T. Hytönen, Da-Chun Yang, Wen Yuan et al. · 0 citations