关于次调和函数、分别次调和函数、调和函数、分别调和函数与全纯函数的可去性结果：综述
偏微分方程分析
2019-07-22 v9
摘要
我们首先对 Blanchet 等人关于次调和函数的延拓结果进行了改进。借助这一改进，我们随后给出了次调和函数、分别次调和函数、调和函数、分别调和函数以及全纯函数的延拓结果。至少在某种意义上，我们关于全纯函数的结果与 Besicovitch 和 Shiffman 著名的延拓结果相关。此外，我们回顾了另一个略微相关且先前的关于全纯函数的延拓结果。
引用
@article{arxiv.1607.07029,
title = {Removability results for subharmonic functions, for separately subharmonic functions, for harmonic functions, for separately harmonic functions and for holomorphic functions, a survey},
author = {Juhani Riihentaus},
journal= {arXiv preprint arXiv:1607.07029},
year = {2019}
}
备注
An extended, enlarged and improved version of the author's talks in conferences in Lviv, May 30 - June 4, 2016, in Petrozavodsk, July 3 - 9, 2016, in Edmonton, July 17 - 21, 2017, in Lviv, September 18 - 23, 2017, and in Gelendzhik-Krasnodar, June 2 - 9, 2018. Especially, now extension results both for separately subharmonic functions and for separately harmonic functions are presented