Rearrangement-invariant hulls of weighted Lebesgue spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929326847426560 |
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| author | Křepela, Martin Mihula, Zdeněk Soria, Javier |
| author_facet | Křepela, Martin Mihula, Zdeněk Soria, Javier |
| contents | 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 $(L^1 + L^\infty)(R, μ)$ and the final condition is given in terms of embeddings for weighted Lorentz spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_13990 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rearrangement-invariant hulls of weighted Lebesgue spaces Křepela, Martin Mihula, Zdeněk Soria, Javier Functional Analysis 46E30, 28A25, 26D15 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 $(L^1 + L^\infty)(R, μ)$ and the final condition is given in terms of embeddings for weighted Lorentz spaces. |
| title | Rearrangement-invariant hulls of weighted Lebesgue spaces |
| topic | Functional Analysis 46E30, 28A25, 26D15 |
| url | https://arxiv.org/abs/2303.13990 |