屋顶围护结构与残余多次谐波函数

IF 0.7 4区数学 Q2 MATHEMATICS

Annales Polonici Mathematici Pub Date : 2021-03-26 DOI:10.4064/ap210624-12-11

A. Rashkovskii

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引用次数: 5

摘要

给定C的有界伪凸域上的负多次调和函数φ，引入并研究了它的残差函数gφ，该残差函数由φ在域内及其边界上的奇异点附近的渐近性质决定。对于φ的某些选择，函数gφ与不同版本的复数格林函数重合。两个给定的多次谐波函数何时可以通过多次谐波测地线连接的问题激发了我们的考虑。数学学科分类:32U05、32U15、32U35、32W20

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Rooftop envelopes and residual plurisubharmonic functions

Given a negative plurisubharmonic function φ in a bounded pseudoconvex domain of C, we introduce and study its residual function gφ determined by the asymptotic behavior of φ near its singularity points, both inside the domain and on its boundary. For certain choices of φ, the function gφ coincides with different versions of pluricomplex Green functions. The considerations are motivated by a problem on when two given plurisubharmonic functions can be connected by a plurisubharmonic geodesic. Mathematic Subject Classification: 32U05, 32U15, 32U35, 32W20

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来源期刊

Annales Polonici Mathematici 数学-数学

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba. The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.