Adjoint of some composition operators on the Dirichlet and Bergman spaces

被引：1
|
作者：
Abdollahi, A. [1 ]
Mehrangiz, S. [2 ]
Roientan, T. [1 ]
机构：
[1] Shiraz Univ, Dept Math, Shiraz, Iran
[2] Islamic Azad Univ, Khonj Branch, Dept Engn, Khonj, Iran
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2015年 / 22卷 / 01期
关键词：
Dirichlet space; composition operator; adjoint; Blaschke product; FRACTIONAL COMPOSITION OPERATORS;
D O I：
10.36045/bbms/1426856858
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let phi be a holomorphic self-map of the unit disk U := {z is an element of C : vertical bar z vertical bar < 1} and the composition operator with symbol is defined by C(phi)f = f omicron phi. In this paper we present formula for the adjoint of composition operators in some Hilbert spaces of analytic functions, in the case that phi is a finite Blaschke product or a rational univalent holomorphic self-map of the unit disk U.
引用
收藏
页码：59 / 69
页数：11
相关论文
共 50 条
12345