The Boundedness Of Several Integral Operators With Variable Kernel

In this thesis,we study the boundedness of some integral operators with variable kernel in Herz type Hardy space.This thesis is organized as follows.Chapter 1 introduces the background about some integral operators with variable kernel,Meanwhile,the main results are given.Chapter 2 investigates the boundedness of fractional integral,singular integral and Marcinkiewicz integral with variable kernel.Chapter 3 studies the boundedness for commtutators of Marcinkiewicz integral with variable kernel in Herz type Hardy space.