On The Weighted Variable Exponent Lorentz Spaces

Abstract

In this paper, using measure wdm instead of Haar measure m, weighted variable exponent Lorentz space is introduced and in-vestigated. Then Hölder inequality is proved for weighted variable exponent Lorentz spaces. Also boundedness of the bilinear Hardy-Littlewood maximal function and Littlewood-Paley square function is considered on these spaces. © 2021, MTJPAM Turkey. All rights reserved.