Boundedness of New Type Fourier Integral Operators with Product Structure
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914902746071040 |
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| author | Tan, Chaoqiang Wang, Zipeng |
| author_facet | Tan, Chaoqiang Wang, Zipeng |
| contents | We investigate a class of Fourier integral operators with weakened symbols, which satisfy a multi-parameter differential inequality in $\R^n$. We establish that these operators retain the classical $L^p$ boundedness and the $H^1$ to $L^1$ boundedness. Notably, the Hardy space considered here is the traditional single-parameter Hardy space rather than a product Hardy space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03211 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundedness of New Type Fourier Integral Operators with Product Structure Tan, Chaoqiang Wang, Zipeng Functional Analysis Primary 42B20, Secondary 42B30, 42B37, 42B15 We investigate a class of Fourier integral operators with weakened symbols, which satisfy a multi-parameter differential inequality in $\R^n$. We establish that these operators retain the classical $L^p$ boundedness and the $H^1$ to $L^1$ boundedness. Notably, the Hardy space considered here is the traditional single-parameter Hardy space rather than a product Hardy space. |
| title | Boundedness of New Type Fourier Integral Operators with Product Structure |
| topic | Functional Analysis Primary 42B20, Secondary 42B30, 42B37, 42B15 |
| url | https://arxiv.org/abs/2408.03211 |