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Quasibounded plurisubharmonic functions
International Journal of Mathematics ( IF 0.6 ) Pub Date : 2021-07-03 , DOI: 10.1142/s0129167x21500683
Mårten Nilsson 1 , Frank Wikström 1
Affiliation  

We extend the notion of quasibounded harmonic functions to the plurisubharmonic setting. As an application, using the theory of Jensen measures, we show that certain generalized Dirichlet problems with unbounded boundary data admit unique solutions, and that these solutions are continuous outside a pluripolar set.

中文翻译:

准有界多次谐波函数

我们将准有界谐波函数的概念扩展到多次谐波设置。作为一个应用,使用 Jensen 测度理论,我们证明了某些具有无限边界数据的广义 Dirichlet 问题允许唯一解,并且这些解在多极集之外是连续的。
更新日期:2021-07-03
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