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Functions Holomorphic Along a $$C^1$$ C 1 Pencil of Holomorphic Discs
The Journal of Geometric Analysis ( IF 1.1 ) Pub Date : 2021-04-03 , DOI: 10.1007/s12220-021-00660-x Ye-Won Luke Cho , Kang-Tae Kim
中文翻译:
沿$$ C ^ 1 $$ C 1的函数的全纯圆盘
更新日期:2021-04-04
The Journal of Geometric Analysis ( IF 1.1 ) Pub Date : 2021-04-03 , DOI: 10.1007/s12220-021-00660-x Ye-Won Luke Cho , Kang-Tae Kim
The main purpose of this article is to present a generalization of Forelli’s theorem for the functions holomorphic along a general pencil of holomorphic discs. This generalizes the main result of Joo et al. (Math Ann 355(3):1171–1176, 2013) and the original Forelli’s theorem, and furthermore, answers one of the problems posed in Chirka (Proc Steklov Inst Math 253(2):212–220, 2006).
中文翻译:
沿$$ C ^ 1 $$ C 1的函数的全纯圆盘
本文的主要目的是针对沿同形圆盘的一般铅笔,介绍有关同形函数的Forelli定理的一般化。这概括了Joo等人的主要结果。(Math Ann 355(3):1171-1176,2013年)和原始的Forelli定理,此外,还回答了Chirka提出的问题之一(Proc Steklov Inst Math 253(2):212-220,2006年)。