1 citations · 2 across the 14 of their papers we have counts for
15 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…
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 kerne…
On the multipoled global Zhou weights and semi-continuity for Zhou numbers
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In the present paper, we give the definition and properties of the multipoled global Zhou weights. Some approximation and convergence results of multipoled global Zhou weights are…
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 $\math…
Tame maximal weights, relative types and valuations
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In this article, we obtain a class of tame maximal weights (Zhou weights). Using Tian functions (the function of jumping numbers with respect to the exponents of a holomorphic func…
A generalization of the conjugate Hardy spaces
Qi'an Guan, Zheng Yuan
In this article, we consider a generalization of the conjugate Hardy spaces, and give some properties of the minimal norm of the generalization and some relations between the…
Concavity property of minimal integrals with Lebesgue measurable gain VIII -- partial linearity and log-convexity
Shijie Bao, Qi'an Guan, Zheng Yuan
In this article, we give some necessary conditions for the concavity property of minimal integrals degenerating to partial linearity, a charaterization for the concavity dege…
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 t…
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.…
Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity II -- on Stein manifolds
Shijie Bao, Qi'an Guan
In this article, we consider Bergman kernels related to modules at boundary points on Stein manifolds, and obtain a log-subharmonicity property of the Bergman kernels. As applicati…
Concavity property of minimal integrals with Lebesgue measurable gain VII -- Negligible weights
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In this article, we present characterizations of the concavity property of minimal integrals with negligible weights degenerating to linearity on the fibrations over open Rie…
Boundary points, minimal integrals and concavity property III -- linearity on Riemann surfaces
Qi'an Guan, Zhitong Mi, Zheng Yuan
In this article, we consider a modified version of minimal integrals on sublevel sets of plurisubharmonic functions related to modules at boundary points, and obtain a concav…
Boundary points, minimal integrals and concavity property II: on weakly pseudoconvex Kähler manifolds
Qi'an Guan, Zhitong Mi, Zheng Yuan
In this article, we consider minimal integrals on the sublevel sets of plurisubharmonic functions on weakly pseudoconvex Kähler manifolds with Lebesgue measurable gain relate…
Boundary points, Minimal integrals and Concavity property
Shijie Bao, Qi'an Guan, Zheng Yuan
For the purpose of proving the strong openness conjecture of multiplier ideal sheaves, Jonsson-Mustaţă posed an enhanced conjecture and proved the two-dimensional case, which says…