An Extrapolation Theorem in the setting of Hausdorff capacities
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912630103343104 |
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| author | Deshmukh, Aniruddha |
| author_facet | Deshmukh, Aniruddha |
| contents | In this article, we prove an analogue of the Rubio de Francia's extrapolation theorem in the setting of Hausdorff capacities. We prove the result using techniques analogous to those in the classical setting and using the recently developed theory of capacitary Muckenhoupt weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Extrapolation Theorem in the setting of Hausdorff capacities Deshmukh, Aniruddha Functional Analysis Classical Analysis and ODEs 42B25, 28A12 In this article, we prove an analogue of the Rubio de Francia's extrapolation theorem in the setting of Hausdorff capacities. We prove the result using techniques analogous to those in the classical setting and using the recently developed theory of capacitary Muckenhoupt weights. |
| title | An Extrapolation Theorem in the setting of Hausdorff capacities |
| topic | Functional Analysis Classical Analysis and ODEs 42B25, 28A12 |
| url | https://arxiv.org/abs/2510.04105 |