一类自伴与本质自伴的加权复合算子  

A Class of Self-adjoint and Essential Self-adjoint Weighted Composition Operators

作　　者：赵国俊[1] 郭树林[1] 

机构地区：[1]南京工程学院基础部

出　　处：《南京工程学院学报（自然科学版）》2008年第2期1-5,共5页Journal of Nanjing Institute of Technology(Natural Science Edition)

摘　　要：研究了经典Bergman空间上加权复合算子的自伴性与本质自伴性.利用再生核函数刻化了自伴的加权复合算子;利用紧Carleson测度和紧Hankel算子给出了D上线性分式自映射所诱导的加权复合算子本质自伴的充要条件.This paper studied the self-adjoint and essential self-adjoint characteristics of weighted composition operators in Bergman space. Self-adjoint weighted composition operators were considered by reproducing kernel functions. A sufficient and necessary condition for essentially self-adjoint weighted composition operators was also worked out by using compact Carleson measures and compact Hankel operators.

关 键 词：BERGMAN空间 加权复合算子 自伴 本质自伴 线性分式 

分 类 号：O174.5[理学—数学]