Universal Inner Functions on the Ball

Canadian mathematical bulletin

关键词: inner functions;    automorphisms of the ball;    universality;   

DOI  :  10.4153/CMB-2008-048-8

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

It is shown that given any sequence of automorphisms $(phi_k)_k$ of theunit ball $n$ of $cn$ such that $|phi_k(0)|$ tends to $1$,there exists an inner function$I$ such that the family of ``non-Euclidean translates"$(Icircphi_k)_k$ is locally uniformly dense in the unit ball of$H^infty(n)$.

【 授权许可】

Unknown