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Rearrangement-invariant hulls of weighted Lebesgue spaces (2303.13990v1)

Published 24 Mar 2023 in math.FA

Abstract: We characterize the rearrangement-invariant hull, with respect to a given measure $\mu$, of weighted Lebesgue spaces. The solution leads us to first consider when this space is contained in the sum of $(L1 + L\infty)(R, \mu)$ and the final condition is given in terms of embeddings for weighted Lorentz spaces.

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