Rearrangement-invariant hulls of weighted Lebesgue spaces

Abstract

We characterize the rearrangement-invariant hull, with respect to a given measure µ, of weighted Lebesgue spaces. The solution leads us to first consider when this space is contained in the sum of (L¹ + L∞)(R, µ) and the finalcondition is given in terms of embeddings for weighted Lorentz spaces