ABSTRACT
The boundedness property is also investigated since the boundedness of the Hardy operator can be referred to in the weighted norm spaces. In this chapter, the authors consider the boundedness of various operators from local general Morrey-type spaces to other local general Morrey-type spaces. They deal with the Hardy–Littlewood maximal operator, singular integral operators including commutators and fractional integral operators including fractional maximal operators. The authors interest in general necessary conditions for the maximal operators to be bounded in general Morrey-type spaces. Guliyev et. al. investigated the action of fractional maximal operators on general Morrey-type spaces. The authors investigate the maximal operator, singular integral operators and fractional maximal operators and also investigate the structure of general Morrey-type spaces.
