1 citations · 1 across the 2 of their papers we have counts for
5 papers
On gradient estimates of the heat semigroups on step-two Carnot groups
Sheng-Chen Mao, Ye Zhang
In this work, we give a sufficient condition for a step-two Carnot group to satisfy the quasi Bakry-Ãmery curvature condition. As an application, we establish the gradient estimat…
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…
-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…
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…
On the lower bound of the curvature exponent on step-two Carnot groups
Ye Zhang
In this work, we show that there exists a step-two Carnot group on which the new lower bound of the curvature exponent given in arXiv:2308.15811v2 can be strictly less than the cur…