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math.AP2024
Reverse Riesz Inequality on Manifolds with Ends
Dangyang He
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…
math.AP2023
Endpoint Estimates For Riesz Transform And Hardy-Hilbert Type Inequalities
Dangyang He
We consider a class of non-doubling manifolds defined by taking connected sum of finite Riemannian manifolds with dimension N which has the form $\mathbb{R}^{n_i}\tim…