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arXiv · 2303.13990

Rearrangement-invariant hulls of weighted Lebesgue spaces

Martin Křepela·Zdeněk Mihula·Javier Soria
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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 $(L^1 + L^\infty)(R, \mu)$ and the final condition is given in terms of embeddings for weighted Lorentz spaces.

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Martin Křepela, Zdeněk Mihula, Javier Soria. 2023-03-24. Rearrangement-invariant hulls of weighted Lebesgue spaces. https://doi.org/10.1016/j.jfa.2024.110454

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