activity
20242026
collaborators

5 papers

math.FA2026

-stability for the variance Brascamp-Lieb inequality

Károly J. Böröczky, Károly J. Böröczky, Yaozhong W. Qiu +1

We prove an -stability estimate for the variance Brascamp-Lieb inequality [J. Funct. Anal. 22 (4), 366-389 (1976)] by bootstrapping the recent -stability theorem of Macha…

math.SP2025

A note on the Pleijel theorem for -type groups

Yaozhong W. Qiu

We continue the program initiated by [J. Éc. Polytech., Math. 12, 1083-1160 (2025)] and show that the Pleijel theorem holds unconditionally on all but four -type groups.

math.MG2025

Almost isoperimetric extremisers of two subriemannian probability measures

Yaozhong W. Qiu

We prove the existence of almost isoperimetric extremisers for two classes of probability measures defined respectively on the Grushin space and a stratified Lie group. It turns ou…

math.PR2025

Optimal subelliptic super-Poincaré and isoperimetric inequalities on stratified Lie groups

Yaozhong W. Qiu

We prove -super-Poincaré inequalities, , for a class of exponential power type probability measures defined in terms of a norm in a number of subelliptic settings…

math.PR2024

Some super-Poincaré inequalities for gaussian-like measures on stratified Lie groups

Yaozhong W. Qiu

We continue the -bound program initiated in [J. Funct. Anal. 258, 814-851 (2010)] and prove super-Poincaré inequalities for a class of subelliptic probability measures defined…