广义Fock空间之间的Volterra型积分算子与复合算子的乘积（英文）

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

本文利用Berezin变换等方法等价地刻画了从广义Fock空间F p?到广义Fock空间F q?的Volterra型积分算子与复合算子乘积V(g,ψ)的有界性,紧性及Schatten-p类性质,其中0<p,q<∞.同时,本文还利用Berezin变换得到了这些算子本性范数的估计.

In this paper,equivalent characterizations for the boundedness,compactness,and Schatten-p class properties of the product of a Volterra type integral operator and a composition operator between generalized Fock spaces F p?and generalized Fock spaces F q?are proposed in terms of certain Berezin integral transformations on the complex plane C,where 0<p,q<∞.We also obtain some estimates on the essential norms of these operators.