Universal functions in several complex variables

Journal of the Australian Mathematical Society

P. S. Chee¹ 

关键词: Polydisc;    ball;    holomorphic automorphism;    bounded holomporphic function;    universal Blaschke product;    universal inner function.;   

DOI  :  10.1017/S1446788700015676

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

It is proved that there exists a universal good inner function in the open unit polydisc Un, that is its non Euclidean translates are dense in the closed unit ball of H∞ (Un) and that there exists a universal function in the open unit ball Bn of Cn. These generalize Heins' result on universal Blaschke products.1980 Mathematics subject classification (Amer. Math. Soc.): primary 32 A 10.

【 授权许可】

Unknown