The Bilinear Hardy-Littlewood Maximal Function and Littlewood-Paley Square Function on Weighted Variable Exponent Wiener Amalgam Space

Abstract

The space “weighted variable exponent Wiener amalgam” whose local component is “variable exponent Lorentz space” is considered. Then boundedness of the “bilinear Hardy-Littlewood maximal function” and “Littlewood-Paley square function” is discussed on this space.