Yirui Zhao

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20222026

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3 papers · 1 filter

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.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…