Generalization and Modification of Hardy-Littlewood Maximal Functions

Abstract

The purpose of this paper is to provide the different types of Hardy-Littlewood Maximal Functions, the relationship between them and the corresponding extension of ℝn of the Hardy-Littlewood maximal function. We also give the generalization and the modification of Hardy-Littlewood maximal function.

Keywords

• Maximal function
• Hardy-Littlewood Maximal Functions
• Borel measure
• Fourier coefficient.