摘要
文章利用加权复合算子在Hardy空间上的性质给出了广义Volterra型算子在导数Hardy空间(即导数属于Hardy空间的解析函数所组成的函数空间)上的有界性和紧性的完整刻画,最后刻画了该类算子的伴随算子的泰勒展开式。
In this paper,based on the properties of weighted composition operators on Hardy spaces,the complete characterizations of the boundedness and compactness of generalized Volterra type operators on derivative Hardy spaces(that is,the function spaces composed of the analytic functions whose derivatives belong to Hardy spaces)is given.Finally,the Taylor expansions of the adjoints of these operators are described.
作者
罗庆仙
LUO Qingxian(School of Science,Guangdong Preschool Normal College in Maoming,Maoming Guangdong 525200,China)
出处
《乐山师范学院学报》
2021年第4期5-9,共5页
Journal of Leshan Normal University
基金
茂名市教育科学研究项目“运用数学分析‘微教学’培养高职高专学生创新能力的实践研究”(mjy2020023)。