SELF-COMMUTATORS OF COMPOSITION OPERATORS WITH MONOMIAL SYMBOLS ON THE BERGMAN SPACE

被引：0

作者：

Abdollahi, A. ^{[1
]}

Mehrangiz, S. ^{[2
]}

Roientan, T. ^{[1
]}

机构：

[1] Shiraz Univ, Dept Math, Shiraz, Iran

[2] Islamic Azad Univ, Dept Engn, Khonj Branch, Khonj, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2015年 / 41卷 / 07期

关键词：

Bergman space; composition operator; essential spectrum; essential norm; self-commutator; AUTOMORPHIC COMPOSITION OPERATORS; DIRICHLET SPACE; ADJOINTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let phi(z) = z(m), z is an element of U, for some positive integer m, and C-phi be the composition operator on the Bergman space A(2) induced by phi. In this article, we completely determine the point spectrum, spectrum, essential spectrum, and essential norm of the operators (C phi C phi)-C-*, C phi C phi* as well as self -commutator and anti-self-commutators of C-phi. We also find the eigenfunctions of these operators.

引用

页码：65 / 76

页数：12

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