Weighted Estimates for Rough Hardy-Littlewood Maximal Operator on Weighted \(\lambda\)-central Morrey Spaces

Abstract

It is very important to study the weighted norm inequalties for classical integral operators on some function spaces. In 2016, Yu et al. [1] first introduced the weighted \(\lambda\)-central Morrey spaces space, then proved the boundedness of rough singular and potential type operators on this space. Inspired by this work [1], we consider the weighted boundedness of rough Hardy-Littlewood maximal operator on weighted \(\lambda\)-central Morrey spaces.