An Approach To Endpoint Problems in Oscillatory Singular Integrals
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866929732750147584 |
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| author | Iosevich, Alex Krause, Ben Mousavi, Hamed |
| author_facet | Iosevich, Alex Krause, Ben Mousavi, Hamed |
| contents | In this note we provide a quick proof that maximal truncations of oscillatory singular integrals are bounded from $L^1(\mathbb{R})$ to $L^{1,\infty}(\mathbb{R})$. The methods we use are entirely elementary, and rely only on pigeonholing and stationary phase considerations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19302 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Approach To Endpoint Problems in Oscillatory Singular Integrals Iosevich, Alex Krause, Ben Mousavi, Hamed Classical Analysis and ODEs In this note we provide a quick proof that maximal truncations of oscillatory singular integrals are bounded from $L^1(\mathbb{R})$ to $L^{1,\infty}(\mathbb{R})$. The methods we use are entirely elementary, and rely only on pigeonholing and stationary phase considerations. |
| title | An Approach To Endpoint Problems in Oscillatory Singular Integrals |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2502.19302 |