Maximal operators related to laplace-bessel operators on variable exponent lebesgue spaces

This thesis consists of five chapters. The first chapter is devoted to introduction. In the second chapter, the basic definitions and theorems that we would need in our study were given. Also, Lebesgue spaces and weighted Lebesgue spaces defined. In third chapter, variable exponent Lebesgue spaces are introduced and the basic features of these space are given. The fourth chapter includes the generalized translation operator and its basic properties. Also in this chapter, the boundedness problem of the generalized shift operator on variable exponent Lebesgue spaces has been investigated. In the final chapter, the boundedness of the Bn-maximal operator on variable exponent Lebesgue spaces is proved.