8 papers
A remark on a generalized Suita conjecture for finite points case
Qi'an Guan, Xun Sun, Zheng Yuan
In this article, we use a class of harmonic functions (maybe multi-valued) to study the equality part in a weighted version of Suita conjecture for higher derivatives and finite po…
Concavity property of minimal integrals with Lebesgue measurable gain III: open Riemann surfaces
Qi'an Guan, Zheng Yuan
In this article, we present a characterization of the concavity property of minimal integrals degenerating to linearity in the case of finite points on open Riemann surfaces.…
Zhou valuations and jumping numbers
Shijie Bao, Qi'an Guan, Zheng Yuan
In this article, we prove that for any Zhou valuation , there exists a graded sequence of ideals and a nonzero ideal such that $\ma…
The log-plurisubharmonicity of fiberwise Bergman kernels for variant functionals
Shijie Bao, Qi'an Guan, Zheng Yuan
In this paper, we establish the log-plurisubharmonicity of fiberwise -Bergman kernels for a family of variant functionals, thereby addressing a question posed by Bo Berndtsson…
Weighted versions of Saitoh's conjecture in fibration cases
Qi'an Guan, Gan Li, Zheng Yuan
In this article, we introduce some generalized Hardy spaces on fibrations of planar domains and fibrations of products of planar domains. We consider the kernel functions on these…
Equivalence of the sharp effectiveness results of strong openness property
Shijie Bao, Qi'an Guan
In this paper, we show the equivalence of the sharp effectiveness results of the strong openness property of multiplier ideal sheaves obtained in \cite{BG1} using Bergman kern…