Compactness of a restricted X-ray transform
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| Accesso online: | |
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| _version_ | 1866909486247051264 |
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| author | Biswas, Chandan |
| author_facet | Biswas, Chandan |
| contents | We show that the X-ray transform with directions restricted along the moment curve possesses extremizers and that $L^p$-normalized extremizing sequences are precompact modulo symmetry. Our approach advances the Lorentz space method of Christ to a mixed norm Lebesgue space setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_01889 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Compactness of a restricted X-ray transform Biswas, Chandan Classical Analysis and ODEs We show that the X-ray transform with directions restricted along the moment curve possesses extremizers and that $L^p$-normalized extremizing sequences are precompact modulo symmetry. Our approach advances the Lorentz space method of Christ to a mixed norm Lebesgue space setting. |
| title | Compactness of a restricted X-ray transform |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2009.01889 |