6 papers · 1 filter
Quantitative hyperconvexity and the Bergman distance
Bo-Yong Chen, Yuanpu Xiong
Let be a bounded hyperconvex domain admitting a negative plurisubharmonic exhaustion function such that near the bou…
An estimate of the Bergman distance on Riemann surfaces
Bo-Yong Chen, Yuanpu Xiong
Let be a hyperbolic Riemann surface with the first eigenvalue . Let denote the distance from a fixed point and the injectivity radius at . We…
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 Hartogs-type exten…
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 of a bounded non-smooth pseudoconvex domain , in the Bergman space $ H^2(Ω…
The theorems of M. Riesz and Zygmund in several complex variables
Bo-Yong Chen
In this note, we extend the well-known theorems of M. Riesz and Zygmund on conjugate functions as follows. Let be a domain in . Suppose that $f=u+iv\in \mathcal O(…
Regularity of the Bergman kernel
Bo-Yong Chen, Yuanpu Xiong
We show that the Bergman kernel on a bounded domain is of locally for .The proof is based on the locally Lipschitz continuity of the off-diagonal…