Finite Blaschke product and the multiplication operators on Sobolev disk algebra

• 作 者: ZongYao Wang (1) RuiFang Zh
• 机 构: 1.DepartmentofMathematics
• 出 处: 中国科学：数学英文版
• 发表日期: 2009年1期
• 关键词: FINITE Blaschke product MULTIPLICATION OPERATORS SOBOLEV DISK ALGEBRA similarity
• 基金项目: supported by the National Natural Science Foundation of China (Grant No. 10471041)

Let R(D) be the algebra generated in Sobolev space W22(D) by the rational functions with poles outside the unit disk D. In this paper the multiplication operators Mg on R(D) is studied and it is proved that Mg ～ Mzn if and only if g is an n-Blaschke produ