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Riemann-Stieltjes算子的本性范数
The Essential Norm of Riemann-Stieltjes Operators
本文建立在从Hardy空间Hp到Zygmund型空间Zμ的Riemann-Stieltjes算子Ig,φ和Jg,φ的有界性和紧性的特征的基础上，构造了Hp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Ig,φ和Jg,φ本性范数的估计.
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.
本性范数 / Hardy空间 / Zygmund型空间 / Riemann-Stieltjes算子 {{custom_keyword}} /
essential norm / Hardy space / Zygmund-type space / Riemann-Stieltjes operators {{custom_keyword}} /
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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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