Estimates For Some Operators In Homogeneous Grand Variable Exponent Lebesgue Spaces

In this dissertation,we shall mainly study the boundedness of some operators on the homogeneous grand variable exponent space.The main results are as follows.In section 1,first,the research background and related concepts are introduced.In section 2,we mainly establish the boundedness of the commutators which generated by the BMO functions and Calderon-Zygnund operator or fractional in-tegral operators on the homogeneous grand variable exponent spaces.In section 3,we will discuss the boundedness of the Marcinkiewicz integral M and the commutator Mb generated by the Lipschitz function b on the homogeneous grand variable exponent space,respectively.