Integral-type Operators On Function Spaces

Boundedness and compactness of operators between diferent spaces are the impor-tant component part in operator fields. In recent decades, many scholars are interestedin the research of the properties of diferent operators in function spaces. As the objectof study is the diferent function space and the diferent types of operators, research onsuch issues is very broad space and attract people more and more.In order to understand the properties of the research objects further, we need tofind some good tools and methods, so as to make the problem easier to solve. I find thereare some good regular ways to study the properties of operators on holomorphic spaceswhen I learned the literatures. In this paper, I use the previous method to solve theintegral operator are not related to the space, the integral operators of some commonspace on the necessary and sufcient conditions for boundedness and compactness.