论文标题

Quasibound的Plurisubharmonic功能

Quasibounded plurisubharmonic functions

论文作者

Nilsson, Mårten, Wikström, Frank

论文摘要

我们将准谐波函数的概念扩展到Plurisubharmonic设置。作为一种应用,使用詹森度量理论,我们表明某些具有无限边界数据的广义迪里奇问题允许独特的解决方案,并且这些解决方案是在多极集合之外连续的。

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.

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