On operators which commute with analytic Toeplitz operators modulo the finite rank operators期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On operators which commute with analytic Toeplitz operators modulo the finite rank operators

Authors:	Kunyu Guo Kai Wang

Institution:	School of Mathematics, Fudan University, Shanghai, 200433, People's Republic of China ; School of Mathematics, Fudan University, Shanghai, 200433, People's Republic of China

Abstract:	It is shown that an operator on the Hardy space $H^2({\mathbb{D}}^n)$ (or $H^2({\mathbb{B}}_n)$ ) commutes with all analytic Toeplitz operators modulo the finite rank operators if and only if . Here is a finite rank operator, and in the case , is a sum of a rational function and a bounded analytic function, and in the case $n\geq 2$ , is a bounded analytic function.

Keywords:	Hardy space Toeplitz operator finite rank operator

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