Fock-Sobolev空间上Volterra型积分算子与复合算子的乘积  

PRODUCTS OF VOLTERRA TYPE OPERATORS AND COMPOSITION OPERATORS BETWEEN FOCK SOBOLEV SPACES

作　　者：吴舒琦 WU Shu-qi(School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2023年第2期179-188,共10页Journal of Mathematics

摘　　要：本文研究了Fock-Sobolev空间上有关Volterra型积分算子与复合算子乘积有界性和紧性的问题.利用再生核,Carleson测度和Berezin变换等方法.获得了有界性和紧性的一个等价刻画,推广了Fock空间上的结果.In this paper,we research some characters of products of Volterra type operators and composition operators between Fock Sobolev spaces.We use reproducing kernel and Carleson measure and Berezin transform.Several equivalent conditions on the bounded and compactness of the operator are given,we extend the conclusion of Fock spaces.

关 键 词：Fock-Sobolev空间 Volterra型积分算子 复合算子 

分 类 号：O177.2[理学—数学]