Yirui Zhao

activity

20222026

collaborators

Showing 2026Show all

2 papers · 1 filter

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.CA2026

Optimal Weak-Type Estimates and Their Applications of Lifted Rough Maximal Operators

Dachun Yang, Wen Yuan, Yirui Zhao

Let $n \in N \cap [2, \infty)$ and $Ω \in L^{1} (S^{n - 1})$ with $Ω \neq \equiv 0$ . In this article, we introduce a new family of lifted rough maximal operators $\{\mathcal{M}_…