Interpolation between weighted Lorentz spaces with respect to a vector measure

Authors : Maryam MOHSENİPOUR, Ghadir SADEGHİ

Pages : 1590-1600

Doi:10.15672/hujms.652608

View : 17 | Download : 7

Publication Date : 2019-12-08

Article Type : Research Paper

Abstract :In this paper, we consider weighted Lorentz spaces with respect to a vector measure and derive some of their properties. We describe the interpolation with a parameter function of these spaces. As an application, we get a type of the generalization of Steffensen`s inequality for $L^pinsert ignore into journalissuearticles values(\|m\|);$ and interpolation spaces for couples of Lorentz-Zygmund spaces.
Keywords : Lorentz spaces, interpolation, vector measures, Steffensen`s inequality