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20222024
most citedConcavity property of minimal integrals with Lebesgue measurable gain III: open Riemann surfaces

1 citations · 2 across the 14 of their papers we have counts for

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6 papers · 1 filter

math.CV2023

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…

math.CV2023

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…

math.CV2023

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…

math.CV2023

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…

math.CV2023

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…

math.CV2023

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…