3 papers
math.FA2026
-Caffarelli--Kohn--Nirenberg inequalities on metric measure spaces
Zhe-Feng Xu, Ye Zhang
Motivated by the sharp constants in the -Caffarelli--Kohn--Nirenberg (or -CKN for short) inequalities on Euclidean spaces, we study, in a unified framework, a sequence of…
gr-qc2025
The Semiclassical limit of Gauge Field Coherent States: Peakedness and Overlap Functions
Ye Zhang, Zichang Huang
By using the heat kernel method, we construct diffeomorphism-covariant coherent states for the gauge group. We numerically demonstrate that these states exhibit the require…
math.AP2025
On the heat semigroup approach to the geometric Forward-Reverse Brascamp-Lieb inequality
Ye Zhang
In this short paper we provide a new proof of the geometric Forward-Reverse Brascamp-Lieb inequality, using the approach of the heat semigroup, or the heat flow. Furthermore, we ch…