摘要
证明了加权Hardy空间H2(β)的乘子代数M(H2(β))(当H2(β)的权序列满足∑∞n=11β(n)2<+∞时)的不变子空间M在单位圆盘内有有限个公共零点时的结构.在这种情况下,M由其公共零点表示成:M=(z-z1)…(z-zn)M(H2(β)).
This paper mainly proves the structure of the invariant subspace of the multiplier algebra M( H^2 (β)) of weighted hardy space H^2 (β) ( the right sequence of H^2 (β) meets ^∞∑n=1 1/β(n)^2〈+∞), when it has finite zeros in the unit disk. In this case, M could be expressed by the public zeros as. M=(z-z1)…(z-zn)M(H^2(β)).
出处
《嘉兴学院学报》
2009年第3期5-10,共6页
Journal of Jiaxing University
基金
国家自然科学基金项目(1037105110671083)