| Riemann-Stieltjes算子的本性范数 |
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| 引用本文： | 刘晓曼,刘永民,于燕燕.Riemann-Stieltjes算子的本性范数[J].数学学报,2016,59(6):847-858. |
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| 作者姓名： | 刘晓曼 刘永民 于燕燕 |
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| 作者单位： | 1. 东南大学数学系 南京 210096;
2. 江苏师范大学数学与统计学院 徐州 221116;
3. 徐州工程学院数学与物理科学学院 徐州 221018 |
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| 基金项目： | 国家自然科学基金资助项目（11171285）；江苏省基础研究计划资助项目（BK20161158） |
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| 摘 要： | 本文建立在从Hardy空间H~p到Zygmund型空间Z_μ的Riemann-Stieltjes算子I_(g,φ)和J_(g,φ)的有界性和紧性的特征的基础上,构造了H~p中一些检验函数,运用本性范数的定义与解析函数的性质,给出了算子I_(g,φ)和J_(g,φ)本性范数的估计.
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| 关 键 词： | 本性范数 Hardy空间 Zygmund型空间 Riemann-Stieltjes算子 |
The Essential Norm of Riemann-Stieltjes Operators |
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| Xiao Man LIU,Yong Min LIU,Yan Yan YU.The Essential Norm of Riemann-Stieltjes Operators[J].Acta Mathematica Sinica,2016,59(6):847-858. |
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| Authors: | Xiao Man LIU Yong Min LIU Yan Yan YU |
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| Institution: | 1. Department of Mathematics, Southeast University, Nanjing 210096, P. R. China;
2. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, P. R. China;
3. School of Mathematics and Physics Science, Xuzhou Institute of Technology, Xuzhou 221018, P. R. China |
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| Abstract: | On the basis of the characterizations of the boundedness and compactness of the Riemann-Stieltjes operator Ig,φ and Jg,φ from Hardy spaces Hp to Zygmund-type spaces, the authors provide an estimate for the essential norm of Ig,φ and Jg,φ by means of constructing some test functions in Hp, the definition of the essential norm of an operator and the properties of the analytic function. |
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| Keywords: | essential norm Hardy space Zygmund-type space Riemann-Stieltjes operators |
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