- 作者: 黃俊雄
- 作者服務機構: 中央研究院數學所
- 中文摘要: 我們首先將以前所決解的杜氏老問題之布氏量從一元推廣到多元複變。其次我們回答漢氏之推測關於多元複變之正則函數的新論。最後我們研究尼氏理論、正則函數及布氏之次序論之間的關係。
- 英文摘要: We first extend our solution to an old problem of Doob [Ann. of Math. 1935] about Bloch normfrom one to several complex variables. Next, we answer a conjecture of Hahn about a new criterion ofnormal functions in several variables. Finally, we study a connection between Nevanlinna theory andnormal functions as well as Bloch ordering.
- 中文關鍵字: automorphism; Bloch norm; Doob class; normal family; normal function; ramification; range set
- 英文關鍵字: --