Yinqin Li

activity

20222026

collaborators

9 papers

math.AP2026

Stability for the Affine Sobolev Inequality and its Critical Points for $p \geq 2$

Rupert L. Frank, Yinqin Li, Dachun Yang

We prove stability for the affine Sobolev inequality for exponents $p \geq 2$ with best possible norm and best possible stability exponent. We also show a corresponding result for c…

math.CA2026

Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces

Pingxu Hu, Yinqin Li, Dachun Yang +1

We establish two pointwise estimates for fractional difference operators, tracking explicitly the dependence of the constants on the smoothness index $s \in (0, 1)$ . Using these, with…

math.FA2026

Real-variable theory of function spaces with operator-valued $A_{p}$ weights in Banach spaces

Tuomas P. Hytönen, Yinqin Li, Dachun Yang +1

While the theory of matrix-weighted function spaces is well established, the majority of previous results in the infinite-dimensional operator-valued setting deal with "no go" theo…

math.FA2026

A Sharp Localized Weighted Inequality Related to Gagliardo and Sobolev Seminorms and Its Applications

Pingxu Hu, Yinqin Li, Dachun Yang +1

In this article, we establish a nearly sharp localized weighted inequality related to Gagliardo and Sobolev seminorms, respectively, with the sharp $A_{1}$ -weight constant or with th…

math.FA2025

Sharp Brezis--Seeger--Van Schaftingen--Yung Formulae for Higher-Order Gradients in Ball Banach Function Spaces

Pingxu Hu, Yinqin Li, Dachun Yang +2

Let $X$ be a ball Banach function space on $R^{n}$ , $k \in N$ , $h \in R^{n}$ , and $Δ_{h}^{k}$ denote the $k$ {\rm th} order difference. In this article, under some mi…

math.MG2024

New approach to affine Moser-Trudinger inequalities via Besov polar projection bodies

Oscar Dominguez, Yinqin Li, Sergey Tikhonov +2

We extend the affine inequalities on $R^{n}$ for Sobolev functions in $W^{s, p}$ with $1 \leq p < n / s$ obtained recently by Haddad-Ludwig [16, 17] to the remaining range $p \…

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.FA2023

A unified approach to self-improving property via K-functionals

Oscar Dominguez, Yinqin Li, Sergey Tikhonov +2

In this paper we obtain new quantitative estimates that improve the classical inequalities: Poincaré-Ponce, Gaussian Sobolev, and John-Nirenberg. Our method is based on the K-funct…

math.FA2022

Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko

Yinqin Li, Dachun Yang, Long Huang

This book is devoted to exploring properties of generalized Herz spaces and establishing a complete real-variable theory of Hardy spaces associated with local and global generalize…