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| 摘要: |
| 引入截断调和Hardy空间hn2（T）=H2（T）+{ζ，ζ2，...，ζn}v，并研究其上的Toeplitz算子的谱的性质和两个Toeplitz算子的半交换性问题；得到了谱包含定理与两个Toeplitz算子等于一个Toelitz算子的充分必要条件；这些条件与经典Hardy空间上的Toeplitz算子的性质出现了差异。 |
| 关键词: 截断Hardy空间 Toeplitz算子 谱 办换位子 |
| DOI： |
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| Toeplitz Operators on Cutoff Harmonic Hardy Space |
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LIU Yuan,DING Xuan-hao
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| Abstract: |
| In this paper,we introduce the cutoff harmonic Hardy space hn2（T）=H2（T）+{ζ，ζ2，...，ζn}v and study the property of spectra of Toeplitz operator and semi-commutator of two Toeplitz operator act ing on it.We also obtain the spectral inclusiion theorem and necessary and sufficient conditions on that two Toeplitz operators equal one Toeplitz operator,and these conditions are different from the property of Toeplitz,and these conditions are different from the property of Teoplitz operator on classical Hardy space. |
| Key words: cutoff Hardy space Toeplitz operator spectra semi-commutator |
