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math.AP2025
Stability estimates for -Caffarelli-Kohn-Nirenberg inequalities
Xiao-Ping Chen, Chun-Lei Tang
Based on some new vector inequalities established by Figalli and Zhang [\emph{Duke Math. J.} \textbf{171} (2022), 2407--2459], we study the stability of the scale invariant and the…
math.AP2025
On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking
Xiao-Ping Chen, Chun-Lei Tang
This paper focus on the symmetry and symmetry breaking about the second order Hydrogen Uncertainty Principle. \emph{Firstly}, by choosing a suitable test function, we give a negati…