Commuting Dual Toeplitz Operators on the Harmonic Dirichlet Space

被引：0

作者：

Jing Yu YANG ^{[1
]}

Yin Yin HU ^{[2
]}

Yu Feng LU ^{[2
]}

Tao YU ^{[2
]}

机构：

[1] School of Mathematical Statistics,Chifeng University

[2] School of Mathematical Sciences,Dalian University of Technology

来源：

Acta Mathematica Sinica,English Series | 2016年 / 32卷 / 09期

关键词：

Dual Toeplitz operator; harmonic Dirichlet space; commutativity;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In this paper,we characterize the symbols for(semi-)commuting dual Toeplitz operators on the orthogonal complement of the harmonic Dirichlet space.We show that for φ,ψ∈W1,∞,SφSψ=SψSφ on(Dh)⊥if and only if φ and ψ satisfy one of the following conditions:(1) Both φ and ψ are harmonic functions;(2) There exist complex constants α and β,not both 0,such that φ=αψ +β.

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收藏

页码：1099 / 1105

页数：7

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