n维Fock空间上Toeplitz算子的若干性质

Some Properties of Toeplita Operator on Fock Space in Cn

为研究n维Fock空间上以正测度为符号的Toep litz算子的性质,仿照文献[1]中的方法,主要通过Berezin变换、n维Fock空间上的Carleson测度来刻画Toep litz算子的有界性、紧性,并得到了有界性和紧性的几个等价条件。

This paper mainly studies Toeplitz operator on the Fock space in Cn with positive measures as symbols.Imitating the method of reference[1],the author characterizes bounded and compact Toeplitz operator with positive symbols by Berezin transform and Carleson-type measure on Fock space in Cn and gives several other equivalent conditions.