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| D×D上的Toeplitz型与Hankel型算子 | |
| 引用本文： | 许传祥,张成国.D×D上的Toeplitz型与Hankel型算子[J].数学学报,1995,38(2). |
| 作者姓名： | 许传祥 张成国 |
| 作者单位： | 北京大学数学系，中央民族大学数学系 |
| 摘 要： | 本文给出了空间Ｌ￣ａ，２（Ｄ×Ｄ，）的一个完全正交分解，定义了一系列Ｔｏｅｐｌｉｔｚ型与Ｈａｎｋｅｌ型算子，并且证明了它们的有界性，紧性及其Ｓｃｈａｔｔｅｎ－ｖｏｎＮｅｕｍａｎｎ性质． |
| 关 键 词： | Hankel型算子，Toeplitz算子，Riesz位势算子，Besov空间，Schatten－vonNeumann类 |
| 收稿时间： | 1992-7-28 |
| 修稿时间： | 1993-3-1 |
Toeplitz and Hankel Type Operators on the Product Space of Two Unit Disks |
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| Xu Chuanxiang.Toeplitz and Hankel Type Operators on the Product Space of Two Unit Disks[J].Acta Mathematica Sinica,1995,38(2). | |
| Authors: | Xu Chuanxiang |
| Institution: | Xu Chuanxiang (Dept. of Math. Peking Univ.Beijing 100871 China)Zhang Chengguo(Dept.of Math Central Institute for Nationalities, Beijing 100081) |
| Abstract: | Let be the space of square integrable functions on the prod-uctspace D×D of two unit disks with the weighted measure In this paper, we will give a complete orthogunal decomposition define a series of the Toeplitz and Hankel type operators and we develop boundedness,compact-ness and S_p-criteria for them. |
| Keywords: | Besov space Schatten-von Neumann ideal cut-off Jacobi polynomial Hankel typeoperator Toeplitz type operator Riesz Potential |
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