摘要
探讨了n中单位球面S上Berezin变换和Toep litz算子的性质,证明了由{Tφ,φ∈L∞(S)}所生成的C*-代数I(L∞(S))中算子T的符号恰好为单位球B上函数T(称为T的Berezin变换)的非切向边界值.
In this paper, we investigate the properties of Berezin transform and Toeplitz operators on the unit sphere S in C^n. We obtain the symbol of an operator T in the C^n- algebra ( L^∞ (S)) generated by {Tφ,φ∈L^n(S)|as the nontangential boundary value of a certain function T ( called the Berezin transform of T ) on the unit ball B.
出处
《嘉兴学院学报》
2006年第6期40-43,共4页
Journal of Jiaxing University
基金
国家自然科学基金资助项目(10371051)
浙江省自然科学基金资助项目(M103072)