广义Fock空间之间的Volterra型积分算子与复合算子的乘积

Product of Volterra type integral operators and composition operators between generalized Fock spaces

摘要:

本文利用Berezin变换等方法等价刻画了复平面的广义Fock空间之间与Fock型空间上的Volterra型算子与复合算子乘积的有界性,紧性，Schatten-p类性质，还利用Berezin变换得到了这些算子本性范数的估计.

Abstract:

In this paper, we obtain the equivalent characterizations for the boundedness,compactness, and Schatten class properties of the product of Volterra type integral andcomposition operators between generalized Fock spaces in terms of certain Berezin transforms on the complex plane C. We also estimate the essential norms of these operators in terms of the Berezin transformations.