Yirui Zhao

activity

20222026

collaborators

5 papers

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}_…

math.AP2025

Gradient continuity estimates for elliptic equations of singular $p$ -Laplace type with measure data

Longjuan Xu, Yirui Zhao

In this paper, we are concerned with elliptic equations of $p$ -Laplace type with measure data, which is given by $- d i v (a (x) (∣\nabla u ∣^{2} + s^{2})^{\frac{p - 2}{2}} \nabla u) = μ$ wi…

math.CA2024

Sharp Weighted Cohen--Dahmen--Daubechies--DeVore Inequality with Applications to (Weighted) Critical Sobolev Spaces, Gagliardo--Nirenberg Inequalities, and Muckenhoupt Weights

Yinqin Li, Dachun Yang, Wen Yuan +2

In this article, we establish a quantitative weighted variant of a far-reaching inequality obtained by A. Cohen, W. Dahmen, I. Daubechies, and R. DeVore in 2003, whose dependence o…

math.CA2022

Mixed-Norm Herz Spaces and Their Applications in Related Hardy Spaces

Yirui Zhao, Dachun Yang, Yangyang Zhang

In this article, the authors introduce a class of mixed-norm Herz spaces, $E ˙_{q}^{α, p} (R^{n})$ , which is a natural generalization of mixed Lebesgue s…