Yuanpu Xiong

activity

20192025

collaborators

4 papers

math.CV2025

The Grothendieck Theorem in Bergman Spaces

Yutao Liu, Jujie Wu, Yuanpu Xiong

In this paper, we prove that if $E$ is a closed subspace of the holomorphic $L^{p}$ -integrable space and is also contained in the holomorphic $L^{q}$ -integrable space, for any $p > 1$ …

math.CV2025

An estimate of the Bergman distance on Riemann surfaces

Bo-Yong Chen, Yuanpu Xiong

Let $M$ be a hyperbolic Riemann surface with the first eigenvalue $λ_{1} (M) > 0$ . Let $ρ$ denote the distance from a fixed point $x_{0} \in M$ and $r_{x}$ the injectivity radius at $x$ . We…

math.CV2024

Real Variable Things in Bergman Theory

Bo-Yong Chen, Yuanpu Xiong

In this article, we investigate the connection between certain real variable things and the Bergman theory. We first use Hardy-type inequalities to give an $L^{2}$ Hartogs-type exten…

math.CV2019

Curvature and $L^{p}$ Bergman spaces on complex submanifolds in $C^{N}$

Bo-Yong Chen, Yuanpu Xiong

Let $M$ be a closed complex submanifold in $C^{N}$ with the complete Kähler metric induced by the Euclidean metric. Several finiteness theorems on the $L^{p}$ Bergman space o…

The Grothendieck Theorem in Bergman Spaces

An estimate of the Bergman distance on Riemann surfaces

Real Variable Things in Bergman Theory

Curvature and Lp Bergman spaces on complex submanifolds in CN

Curvature and $L^{p}$ Bergman spaces on complex submanifolds in $C^{N}$