四川大学学报(自然科学版)2020,Vol.57Issue(1):32-42,11.DOI:10.3969/j.issn.0490-6756.2020.01.005
广义Fock空间之间的Volterra型积分算子与复合算子的乘积
Product of Volterra type integral operator and composition operators between generalized Fock spaces
摘要
Abstract
In this paper,equivalent characterizations for the boundedness,compactness,and Schatten-p class properties of the product of a Volterra type integral operator and a composition operator between generalized Fock spaces FpΦ are generalized Fock spaces FqΦare proposed in terms of certain Berezin inte-g ral transformations on the complex plane C,w here 0 < p,q< ∞.We also obtain some estimates on the essential norms of these operators.关键词
Volterra型积分算子/复合算子/广义Fock空间/Berezin变换Key words
Volterra operator/Composition operator/Generalized Fock space/Berezin integral transformation分类
数理科学引用本文复制引用
罗小娟,王晓峰,夏锦..广义Fock空间之间的Volterra型积分算子与复合算子的乘积[J].四川大学学报(自然科学版),2020,57(1):32-42,11.基金项目
国家自然科学基金(11471084) (11471084)