The Boundedness Of Marcinkiewicz Integral Operator And Bochner-Riesz Maximal Commutator

The thesis mainly studies the boundedness of Marcinkiewicz integral operator and Bochner-Riesz maximal commutator,the content are arranged as following.In Chapter 1,we introduce the research background of Marcinkiewicz integral operator and Bochner-Riesz average and the development trend at home and abroad.In Chapter 2,we discuss Marcinkiewicz integral on variable exponent space.In Chapter 3,we consider the estimate for Bochner-Riesz maximal commutator on Hardy space.In Chapter 4,we present two weighted estimate for maximal commutator generated by Bochner-Riesz average operator and the weighted Lipschitz function.