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调和Dirichlet空间上小Hankel算子的乘积(英文)
引用本文:冯丽霞,麻文芳.调和Dirichlet空间上小Hankel算子的乘积(英文)[J].数学研究,2013(3):209-220.
作者姓名:冯丽霞  麻文芳
作者单位:[1]山西师范大学数学与计算机科学学院,山西临汾041004 [2]朔州市第一中学,山西朔州036000
基金项目:The work is supported by NSFC (11201274), Young Science Funds of Shanx- i (2010021002-2).
摘    要:研究了调和Dirichlet空间上调和符号的小Hankel算子的乘积,给出了此类小Hankel算子交换性和乘积为零的完全刻画.

关 键 词:调和Dirichlet空间  小Hankel算子  交换性  零积

Product of Small Hankel Operators on the Harmonic Dirichlet Space
Feng Lixia Ma Wenfang.Product of Small Hankel Operators on the Harmonic Dirichlet Space[J].Journal of Mathematical Study,2013(3):209-220.
Authors:Feng Lixia Ma Wenfang
Institution:Feng Lixia Ma Wenfang (1.School of Mathematics and Computer Science, Shanxi Normal University, Linfen Shanxi 041004; 2.First Middle School of Shuozhou City, Shuozhou Shanxi 036000)
Abstract:In this paper, we study small Hankel operators with harmonic symbols on the harmonic Dirichlet space, completely characterize the condition for the cummutativity and zero-product of small Hankel operators.
Keywords:Harmonic Dirichlet space  Small Hankel operator  Commutativity  Zero product
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