Essential normality of linear fractional composition operators in the unit ball of C~N

• 出 处: 中国科学：数学英文版
• 发表日期: 2009年12期
• 关键词: composition OPERATORS essential NORMALITY HARDY space BERGMAN SPACES composition
• 基金项目: supported by National Natural Science Foundation of China(Grant No.10571044)

Let φ be a linear fractional self-map of the ball BN with a boundary fixed point e1,we show that1φReφ1(z)～Re(1-z1)holds in a neighborhood of e1 on BN.Applying this result we give a positive answer for a conjecture by MacCluer and Weir,and improve their re