| 摘要: |
| 本文研究了调和Dirichlet空间上调和符号的Toeplitz算子与小Hankel算子交换性的问题.利用算子矩阵表示的方法,获得了调和Dirichlet空间上调和符号的Toeplitz算子与小Hankel算子交换的充要条件,将Dirichlet空间上的相应结果推广到了调和Dirichlet空间上. |
| 关键词: 调和Dirichlet空间 Toeplitz算子 小Hankel算子 交换性 |
| DOI： |
| 分类号:O177.1 |
| 基金项目:山西省青年科技研究基金资助(2010021002-2);国家自然科学基金资助(11201274). |
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| COMMUTATIVITY OF TOEPLITZ OPERATOR AND SMALL HANKEL OPERATOR ON HARMONIC DIRICHLET SPACE |
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FENG Li-xia1,2, MA Wen-fang3, ZHAO Lian-kuo2
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1.Research Center for History of Mathematics and Science, Northwest University, Xi'an 710127, China;2.School of Mathematics and Computer Sciences, Shanxi Normal University, Linfen 041004, China;3.First Middle School of Shuozhou City, Shuozhou 036000, China
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| Abstract: |
| In this paper,we study the commutativity of Toeplitz operator and small Hankel operator on harmonic Dirichlet space.By the matrix representation of Toeplitz operator and small Hankel operator,we obtain the necessity and sufficient condition for Toeplitz operator and small Hankel operator on harmonic Dirichlet space to be commutativity,which extends the corresponding results on Dirichlet space. |
| Key words: harmonic Dirichlet space Toeplitz operator small Hankel operator commutativity |
