Hanli Tang

collaborators

4 papers

math.CA2026

Optimal dimension-dependent $ℓ^{p}$ and $ℓ^{1, \infty}$ estimates of the discrete Riesz Transforms

Junjie Shao, Hanli Tang, Zewei Xu

In this paper, we are concerned with the optimal dimension-dependent $ℓ^{p}$ norm of the discrete Riesz Transforms $R_{dis}^{(k)}$ on $Z^{d}$ given by the singular c…

math.AP2026

Stability for Critical Points of the Hardy--Littlewood--Sobolev Inequality and a Dual Stability Framework

Lu Chen, Guozhen Lu, Hanli Tang

Although quantitative stability for critical points of the Sobolev and fractional Sobolev inequalities has been extensively studied, the corresponding stability theory for critical…

math.AP2025

Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants

Lu Chen, Guozhen Lu, Hanli Tang +1

In this paper, we are concerned with the optimal asymptotic lower bound for the stability of Sobolev inequality on the Heisenberg group. We first establish the optimal local stabil…