Hacettepe Journal of Mathematics and Statistics 2651-477X 2651-477X Hacettepe University 10.15672/hujms.652608 Mathematical Sciences Matematik Interpolation between weighted Lorentz spaces with respect to a vector measure https://orcid.org/0000-0002-1890-0280 Mohsenipour Maryam Hakim Sabzevari University https://orcid.org/0000-0002-3815-3681 Sadeghi Ghadir Hakim Sabzevari University 12 08 2019 48 6 1590 1600 05 14 2015 10 08 2015 Copyright © 2002, Hacettepe Journal of Mathematics and Statistics 2002 Hacettepe Journal of Mathematics and Statistics

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.

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