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.
On the basis of the characterizations of the boundedness and compactness of the Riemann-Stieltjes operator Ig,φ, and Jg,φfrom 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.
出处
《数学学报（中文版）》
CSCD
北大核心
2016年第6期847-858,共12页
Acta Mathematica Sinica：Chinese Series
基金
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)
