Bo Chen

activity

20232026

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Showing 2024Show all

4 papers · 1 filter

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.DG2024

Type problem, the first eigenvalue and Hardy inequalities

Gilles Carron, Bo-Yong Chen, Yuanpu Xiong

In this paper, we study the relationship between the type problem and the asymptotic behaviour of the first (Dirichlet) eigenvalues $λ_{1} (B_{r})$ of ``balls'' $B_{r} := {ρ < r}$ on a comp…

math.CV2024

Density in weighted Bergman spaces and Bergman completeness of Hartogs domains

Bo-Yong Chen, John Erik Fornæss, Jujie Wu

We study the density of functions which are holomorphic in a neighbourhood of the closure $Ω$ of a bounded non-smooth pseudoconvex domain $Ω$ , in the Bergman space $ H^2(Ω…

math.DG2024

Type problem and the first eigenvalue

Bo-Yong Chen, Yuanpu Xiong

In this paper, we study the relationship between the type problem and the asymptotic behavior of the first eigenvalues $λ_{1} (B_{r})$ of ``balls'' $B_{r} := {ρ < r}$ on a complete Riemanni…