Boundedness of Hardy operators on grand variable weighted Herz spaces

Abstract

In this paper, we will introduce the idea of grand variable weighted Herz spaces $ {{\dot{K} ^{\alpha(\cdot), \epsilon), \theta}_{ q(\cdot)}(\tau)}} $ in which $ \alpha $ is also a variable. Our main purpose in this paper is to prove the boundedness of Hardy operators on grand variable weighted Herz spaces.

Keywords

• hardy operators
• grand herz spaces
• weighted herz spaces
• grand weighted herz spaces