获得了Bergman空间上形如[Tf,Tg]-Thn和[Tf,Tg]-Thn的算子为有限秩时的充要条件,其中f,g,h均为有界调和函数,n为非负自然数.
In this paper we obtain a necessary and sufficient condition for the operators (Tf, Tg]--Thn and [Tf,Tg] -Thn, for n ∈ N+ being finite rank on Bergman space respectively, where f,g, h are bounded harmonic functions.