- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 6
- Interpolation between weighted Lorentz spaces with respect to a vector measure
Interpolation between weighted Lorentz spaces with respect to a vector measure
Authors : Maryam Mohsenipour, Ghadir Sadeghi
Pages : 1590-1600
Doi:10.15672/hujms.652608
View : 11 | Download : 4
Publication Date : 2019-12-08
Article Type : Research
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 $L^p(\|m\|)$ and interpolation spaces for couples of Lorentz-Zygmund spaces.Keywords : Lorentz spaces, interpolation, vector measures, Steffensen's inequality