| On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality |
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| 引用本文： | Bi Cheng YANG. On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality[J]. 数学学报(英文版), 2007, 23(7): 1311-1316. DOI: 10.1007/s10114-005-0895-8 |
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| 作者姓名： | Bi Cheng YANG |
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| 作者单位： | Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, P. R. China |
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| 基金项目： | Supported by the Emphases Natural Science Foundation of Guangdong Institutions of Higher Learning, College and University （No. 05Z026）;Acknowledgement The author is thankful to the referee for his useful suggestions on modification of this paper. |
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| 摘 要： | In this paper, the expression of the norm of a self-adjoint integral operator T ： L^2（0, ∞） → L^2 （0, ∞） is obtained. As applications, a new bilinear integral inequality with a best constant factor is established and some particular cases are considered.
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| 关 键 词： | 双线性积分不等式 β函数 自共轭算子 不等式理论 |
| 收稿时间： | 2005-02-18 |
| 修稿时间： | 2005-02-182005-09-28 |
On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality |
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| Bi Cheng Yang. On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality[J]. Acta Mathematica Sinica(English Series), 2007, 23(7): 1311-1316. DOI: 10.1007/s10114-005-0895-8 |
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| Authors: | Bi Cheng Yang |
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| Affiliation: | (1) Department of Mathematics, Guangdong Institute of Education,, Guangzhou 510303, P. R. China |
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| Abstract: | In this paper, the expression of the norm of a self-adjoint integral operator T : L 2(0,∞) → L 2(0,∞) is obtained. As applications, a new bilinear integral inequality with a best constant factor is established and some particular cases are considered. Supported by the Emphases Natural Science Foundation of Guangdong Institutions of Higher Learning, College and University (No. 05Z026) |
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| Keywords: | norm self-adjoint bilinear inequality Beta function |
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