6 papers
-stability for the variance Brascamp-Lieb inequality
Károly J. Böröczky, Yaozhong W. Qiu, Cyril Roberto
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…
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.
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…
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,…
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 o…
Weyl asymptotics for functional difference operators with power to quadratic exponential potential
Yaozhong W. Qiu
We continue the program first initiated in [Geom. Funct. Anal. 26, 288-305 (2016)] and develop a modification of the technique introduced in that paper to study the spectral asympt…