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math.CA2026
Hypercontractivity of Poisson Semigroups with Orthogonal Polynomial Eigenfunctions
Mahdi Hormozi, Jie-Xiang Zhu
For any , we investigate fixed-time hypercontractive bounds from to of Poisson semigroups associated with the Ornstein--Uhlenbeck, Laguerre and Jaco…
math.CA2023
Weak type of Riesz transform on some direct product manifolds with exponential volume growth
Hong-Quan Li, Jie-Xiang Zhu
In this paper we are concerned with the Riesz transform on the direct product manifold , where is the -dimensional real hyperbolic spac…