Two-weight norm inequalities for parabolic fractional maximal functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866908550445400064 |
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| author | Cruz-Uribe, David Myyryläinen, Kim |
| author_facet | Cruz-Uribe, David Myyryläinen, Kim |
| contents | We prove two-weight norm inequalities for parabolic fractional maximal functions using parabolic Muckenhoupt weights. In particular, we prove a two-weight, weak-type estimate and Fefferman-Stein type inequalities for the centered parabolic maximal function. We also prove that a parabolic Sawyer-type condition implies the strong-type estimate for the parabolic fractional maximal function. Finally, we prove the strong-type estimate for the centered parabolic maximal function assuming a stronger parabolic Muckenhoupt bump condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01012 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-weight norm inequalities for parabolic fractional maximal functions Cruz-Uribe, David Myyryläinen, Kim Classical Analysis and ODEs Primary: 42B25, Secondary: 42B35, 46E30, 26D15 We prove two-weight norm inequalities for parabolic fractional maximal functions using parabolic Muckenhoupt weights. In particular, we prove a two-weight, weak-type estimate and Fefferman-Stein type inequalities for the centered parabolic maximal function. We also prove that a parabolic Sawyer-type condition implies the strong-type estimate for the parabolic fractional maximal function. Finally, we prove the strong-type estimate for the centered parabolic maximal function assuming a stronger parabolic Muckenhoupt bump condition. |
| title | Two-weight norm inequalities for parabolic fractional maximal functions |
| topic | Classical Analysis and ODEs Primary: 42B25, Secondary: 42B35, 46E30, 26D15 |
| url | https://arxiv.org/abs/2410.01012 |