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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.CA2024
Loomis-Whitney inequalities on corank Carnot groups
Ye Zhang
In this paper we provide another way to deduce the Loomis-Whitney inequality on higher dimensional Heisenberg groups based on the one on the first Heisenberg group $…