论文标题
沿着全体形态矢量场的新的Plurisubharmonic容量和功能霍明型
A new plurisubharmonic capacity and functions holomorphic along holomorphic vector fields
论文作者
论文摘要
本文的主要目的是呈现Forelli定理沿函数全体形态的概括，沿着对角线类型的对角线呈矢量场的积分曲线的悬浮液。为此，我们开发了一种新的能力理论，该理论概括了Siciak \ cite {Siciak82}引入的投影能力理论。我们的主要定理改善了\ cite {kps09}，\ cite {cho22}的结果以及原始的forelli定理。
The main purpose of this article is to present a generalization of Forelli's theorem for functions holomorphic along a suspension of integral curves of a diagonalizable vector field of aligned type. For this purpose, we develop a new capacity theory that generalizes the theory of projective capacity introduced by Siciak \cite{Siciak82}. Our main theorem improves the results of \cite{KPS09}, \cite{Cho22} as well as the original Forelli's theorem.
