Volterra型算子从导数Hardy空间到加权Dirichlet空间上的序有界性  

The Order Boundedness of Volterra Type Operators from Derivative Hardy Spaces into Weighted Dirichlet Spaces

作　　者：罗庆仙 LUO Qing-xian(School of Science,Guangdong Preschool Normal College in Maoming,Maoming 525200,Guangdong,China)

机构地区：[1]广东茂名幼儿师范专科学校理学院,广东茂名525200

出　　处：《韶关学院学报》2021年第9期1-4,共4页Journal of Shaoguan University

基　　金：茂名市教育科学“十三五”规划研究项目(mjy2020023).

摘　　要：利用导数Hardy空间SP(0<p<∞)上的点值泛函δ_(z)的范数估计以及导数点值泛函δ'_(z)的范数估计,首次研究并给出了Volterra型算子T_(g)、S_(g)及其相关的乘法算子M_(g)从导数Hardy空间S_(P)(0<p<∞)到加权Dirichlet空间D_(β)^(q)(0<q<∞,-1<β<∞)上的序有界性的完整刻画.In this paper,based on the estimates of the norms of point evaluation functionals and derivative point evaluation functionals on derivative Hardy spaces S^(P)(0<p<∞),the order boundedness of Volterra type operators and their related multiplication operators from derivative Hardy spaces S^(P)(0<p<∞)into weighted Dirichlet spaces D_(β)^(q)(0<q<∞,-1<β<∞)are completely characterized.

关 键 词：Volterra型算子 导数Hardy空间 加权DIRICHLET空间 序有界性 

分 类 号：O177.2[理学—数学]