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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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math.CV2022★ 1 cited

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.…

math.CV2022★ 1 cited

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…

math.CV2022

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…

math.CV2022

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…

math.CV2022

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…

math.CV2022

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…