Fock空间上的广义积分复合算子

Generalized Integral Composition Operators Between Fock Spaces

本文主要研究了Fock空间F^(p)到F^(q)(0<p,q≤∞)上的广义积分复合算子.首先刻画了两个广义积分复合算子差分的有界性和紧性,之后估计了差分的本性范数.另外,本文研究了广义积分复合算子空间的道路连通子集.

In this paper,we study the generalized integral composition operators between different Fock spaces F^(P) and F^(q) with 0<p,q≤∞.We first characterize bounded and compact differences of two generalized integral composition operators,and then estimate the essential norm of the difference.In addition,we study the path connected subsets of the space of the generalized integral composition operators.