Uniform convergence of Green's functions

作者：Kalmykov, Sergei; Kovalev, Leonid V.^*

来源：Complex Variables and Elliptic Equations, 2019, 64(4): 557-562.

DOI：10.1080/17476933.2018.1460822

• Green's function
• kernel convergence
• conformal map

Given a sequence of regular planar domains converging in the sense of kernel, we prove that the corresponding Green's functions converge uniformly on the complex sphere, provided the limit domain is also regular, and the connectivity is uniformly bounded.

• 出版日期2019-4-3
• 单位上海交通大学