Wen Yuan

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20242026

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3 papers · 1 filter

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…

math.FA2025

Besov--Triebel--Lizorkin-Type Spaces with Matrix $A_{\infty}$ Weights

Fan Bu, Tuomas Hytönen, Dachun Yang +1

Introduced by A. Volberg, matrix $A_{p, \infty}$ weights provide a suitable generalization of Muckenhoupt $A_{\infty}$ weights from the classical theory. In our previous work, we esta…

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

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

Besov--Triebel--Lizorkin-Type Spaces with Matrix A∞​ Weights

Besov--Triebel--Lizorkin-Type Spaces with Matrix $A_{\infty}$ Weights