Self-improving properties of weighted norm inequalities on metric measure spaces
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917905757634560 |
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| author | Kinnunen, Juha Lehrbäck, Juha Vähäkangas, Antti V. Yang, Dachun |
| author_facet | Kinnunen, Juha Lehrbäck, Juha Vähäkangas, Antti V. Yang, Dachun |
| contents | This work discusses self-improving properties of the Muckenhoupt condition and weighted norm inequalities for the Hardy-Littlewood maximal function on metric measure spaces with a doubling measure. Our main result provides direct proofs of these properties by applying a Whitney covering argument and a technique inspired by the Calderón-Zygmund decomposition. In particular, this approach does not rely on reverse Hölder inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17651 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-improving properties of weighted norm inequalities on metric measure spaces Kinnunen, Juha Lehrbäck, Juha Vähäkangas, Antti V. Yang, Dachun Classical Analysis and ODEs Analysis of PDEs 42B25, 42B35, 46E30, 30L99 This work discusses self-improving properties of the Muckenhoupt condition and weighted norm inequalities for the Hardy-Littlewood maximal function on metric measure spaces with a doubling measure. Our main result provides direct proofs of these properties by applying a Whitney covering argument and a technique inspired by the Calderón-Zygmund decomposition. In particular, this approach does not rely on reverse Hölder inequalities. |
| title | Self-improving properties of weighted norm inequalities on metric measure spaces |
| topic | Classical Analysis and ODEs Analysis of PDEs 42B25, 42B35, 46E30, 30L99 |
| url | https://arxiv.org/abs/2501.17651 |