Reverse Riesz Inequality on Manifolds with Ends

2024/11/26 by He, Dangyang · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.17107

Abstract

In our investigation, we focus on the reverse Riesz transform within the framework of manifolds with ends. Such manifolds can be described as the connected sum of finite number of Cartesian products ℝ^n_i × M_i, where M_i are compact manifolds. We rigorously establish the boundedness of this transform across all L^p spaces for 1

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• On the Reverse Inequality of Riesz transform on metric cone with potential
• Isoperimetric Inequality on Manifolds with Quadratically Decaying Curvature

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