Continuity properties of strongly singular integral operators for extreme values of $p$
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913059277111296 |
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| author | Berra, Fabio Pradolini, Gladis Ramos, Wilfredo Viltes, Ignacio |
| author_facet | Berra, Fabio Pradolini, Gladis Ramos, Wilfredo Viltes, Ignacio |
| contents | In this work, we establish continuity properties of strongly singular integral operators for extreme values of $p$. Particularly, weighted $L^\infty$-$BMO$ boundedness is obtained, generalizing Miyachi's result to the context of Muckenhoupt weights. As an application, we get an alternative proof of Chanillo's weighted $L^p$ estimates via extrapolation techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22690 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Continuity properties of strongly singular integral operators for extreme values of $p$ Berra, Fabio Pradolini, Gladis Ramos, Wilfredo Viltes, Ignacio Classical Analysis and ODEs Analysis of PDEs Primary: 42B20, Secondary: 42B15, 35S30 In this work, we establish continuity properties of strongly singular integral operators for extreme values of $p$. Particularly, weighted $L^\infty$-$BMO$ boundedness is obtained, generalizing Miyachi's result to the context of Muckenhoupt weights. As an application, we get an alternative proof of Chanillo's weighted $L^p$ estimates via extrapolation techniques. |
| title | Continuity properties of strongly singular integral operators for extreme values of $p$ |
| topic | Classical Analysis and ODEs Analysis of PDEs Primary: 42B20, Secondary: 42B15, 35S30 |
| url | https://arxiv.org/abs/2604.22690 |