Dangyang He

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20242026

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math.AP2026

Herz versus Fefferman: Symmetric and asymmetric Bochner--Riesz theory

Peng Chen, Dangyang He, Adam Sikora +1

We study Bochner--Riesz summability for a one-dimensional model of noncompact manifolds with ends. Each end has an effective Euclidean dimension, and these dimensions may differ fr…

math.AP2025

On the Reverse Inequality of Riesz transform on metric cone with potential

Dangyang He

Let $M = (0, \infty)_{r} \times Y$ be a $d$ -dimensional ( $d \geq 3$ ) metric cone with metric<br/> $g = d r^{2} + r^{2} h$ , where $(Y, h)$ is a closed Riemannian manifold. Let<br/> $H = I^ + V_{0} / r^{2}$ be the…

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…