摘要
本文讨论了Dirichlet空间上由调和函数诱导的Bergman型Toeplitz算子的基本性质和代数性质,包括此类算子的自伴性、乘积性质、交换性及可逆性,并计算了算子的谱.
We study preliminary properties and algebraic properties of Bergman-type Toeplitz operators which are induced by harmonic symbols on the Dirichlet space,including self-adjointness, products, commutativity and invertibility. Moreover, the spectra of the Toeplitz operator are calculated.
作者
秦杰
刘柚岐
黄穗
Jie QIN;You Qi LIU;Sui HUANG(School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P. R. China)
出处
《数学学报(中文版)》
CSCD
北大核心
2019年第3期449-456,共8页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(11501068)
重庆市教委科研项目(KJ1600302)