Genelleştirilmiş morrey uzaylarinda calderon-zygmund operatörleri tarafindan üretilen altlineer operatörler ve onlarin komütatörlerinin sinirliliği

In this thesis, the boundedness of sublinear operators and their commutators produced by Calderon-Zygmund operators in Generalized Morrey spaces have been examined. This thesis consists of the five parts. In the second part, information about the basic concepts, spaces and operators related to our work is given. In the third chapter, the generalized Morrey Space defined by Guliyev is given, further the boundedness of the sublinear operators and commutators produced by the Calderon-Zygmund integral operator in the generalized Morrey space is shown. In the four chapter, generalized Morrey spaces defined by Mizuhara are defi- ned and the boundedness of coarse-core sublinear operators and commutators produced by Calderoon-Zygmund integral operators in these spaces are shown. In the fifth chapter, which is the last chapter, the limitations pseudodifferential operators, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator in generalized Morrey Spaces are obtained based on the results of previous chapters.