Characterizations for arbitrary Békollé-Bonami weights
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915338727194624 |
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| author | Mudarra, Carlos Perfekt, Karl-Mikael |
| author_facet | Mudarra, Carlos Perfekt, Karl-Mikael |
| contents | We precisely characterize the relationships between the reverse Hölder inequality, the Fujii-Wilson condition, the Békollé-Bonami $\mathrm{B}_p$ condition, the $\mathrm{B}_\infty$ condition, and the reverse Jensen inequality, for arbitrary weights in the unit disc. This is achieved by introducing new side conditions that turn out to be necessary and sufficient. The side conditions are simple and testable, and can be interpreted as integral versions of the much stronger condition of bounded hyperbolic oscillation, which has been considered earlier in the literature. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_05993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizations for arbitrary Békollé-Bonami weights Mudarra, Carlos Perfekt, Karl-Mikael Classical Analysis and ODEs Complex Variables Functional Analysis 46E30, 42B25 We precisely characterize the relationships between the reverse Hölder inequality, the Fujii-Wilson condition, the Békollé-Bonami $\mathrm{B}_p$ condition, the $\mathrm{B}_\infty$ condition, and the reverse Jensen inequality, for arbitrary weights in the unit disc. This is achieved by introducing new side conditions that turn out to be necessary and sufficient. The side conditions are simple and testable, and can be interpreted as integral versions of the much stronger condition of bounded hyperbolic oscillation, which has been considered earlier in the literature. |
| title | Characterizations for arbitrary Békollé-Bonami weights |
| topic | Classical Analysis and ODEs Complex Variables Functional Analysis 46E30, 42B25 |
| url | https://arxiv.org/abs/2506.05993 |