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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…
math.AP2024★ 1 cited
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-Émery curvature condition. As an application, we establish the gradient estimate…
math.AP2023
Heat kernel asymptotics on the free step-two Carnot group with generators
Hong-Quan Li, Sheng-Chen Mao, Ye Zhang
In this work, we establish the uniform heat kernel asymptotics as well as sharp bounds for its derivatives on the free step-two Carnot group with generators. As a by-product, o…