The Boundedness For Several Kinds Of Average Operators In Some Function Spaces

In this dissertation,we will introduce the boundedness for several kinds of average operators in some function spaces,the full text is divided into four chapters.First of all,in the introduction part,we mainly introduce some related research of average operators and the main conclusions of this paper.In the second chapter,we demonstrate the boundedness for commutators of multilinear max-imal functions on the generalized Morrey space.In the third chapter,we prove the boundedness for commutators of fractional multilinear maximal functions on the Morrey space.In the last chapter,we present the boundedness of fractional weighted Hardy-Cesaro operator and its commutators on variable-exponent Herz-Morrey spaces.