Adjoints of linear fractional composition operators on weighted Hardy spaces

被引：0
作者：
Čučković Z. [1 ]
Le T. [1 ]
机构：
[1] Department of Mathematics and Statistics, University of Toledo, Mail Stop 942, Toledo, 43606, OH
来源：
Acta Scientiarum Mathematicarum | 2016年 / 82卷 / 3-4期
关键词：
Adjoint; Composition operator; Weighted Hardy space;
D O I：
10.14232/actasm-015-801-z
中图分类号：
学科分类号：
摘要：
It is well known that on the Hardy space H2(D) or weighted Bergman space A2α(D) over the unit disk, the adjoint of a linear fractional composition operator equals the product of a composition operator and two Toeplitz operators. On S2(D), the space of analytic functions on the disk whose first derivatives belong to H2(D), Heller showed that a similar formula holds modulo the ideal of compact operators. In this paper we investigate what the situation is like on other weighted Hardy spaces. © 2016 Bolyai Institute, University of Szeged.
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页码：651 / 662
页数：11
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