半平面函数空间上复合算子的差分

Difference of composition operators on function spaces over the half-plane

本文刻画半平面Korenblum空间上复合算子差分的有界性、紧性和序有界性,并探究复合算子差分的相应性质在半平面Bergman空间与Korenblum空间之间的差异性.

In this paper,we characterize the boundedness,compactness and order boundedness for the difference of composition operators on the Korenblum space over the half-plane.Furthermore,we compare the corresponding properties of the difference of composition operators between Bergman spaces and Korenblum spaces over the half-plane.