Regularity of Fourier integrals on product spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909298943066112 |
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| author | Tan, Chaoqiang Wang, Zipeng |
| author_facet | Tan, Chaoqiang Wang, Zipeng |
| contents | We study a family of Fourier integral operators by allowing their symbols to satisfy a multi-parameter differential inequality on R^N. We show that these operators of order -(N-1)/2 are bounded from classical, atom decomposable H^1-Hardy space to L^1(R^N). Consequently, we obtain a sharp L^p-regularity result due to Seeger, Sogge and Stein. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09691 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of Fourier integrals on product spaces Tan, Chaoqiang Wang, Zipeng Classical Analysis and ODEs We study a family of Fourier integral operators by allowing their symbols to satisfy a multi-parameter differential inequality on R^N. We show that these operators of order -(N-1)/2 are bounded from classical, atom decomposable H^1-Hardy space to L^1(R^N). Consequently, we obtain a sharp L^p-regularity result due to Seeger, Sogge and Stein. |
| title | Regularity of Fourier integrals on product spaces |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2408.09691 |