Weak $L^2$ bound of the lacunary Carleson operator for the non-linear Fourier transform
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911070838325248 |
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| author | Mnatsakanyan, Gevorg |
| author_facet | Mnatsakanyan, Gevorg |
| contents | We prove the weak $L^2$ boundedness of a lacunary maximal function of the $SU(1,1)$-valued nonlinear Fourier transform if the potential is in $L^1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_00309 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Weak $L^2$ bound of the lacunary Carleson operator for the non-linear Fourier transform Mnatsakanyan, Gevorg Classical Analysis and ODEs Spectral Theory 42C05, 34L40 We prove the weak $L^2$ boundedness of a lacunary maximal function of the $SU(1,1)$-valued nonlinear Fourier transform if the potential is in $L^1$. |
| title | Weak $L^2$ bound of the lacunary Carleson operator for the non-linear Fourier transform |
| topic | Classical Analysis and ODEs Spectral Theory 42C05, 34L40 |
| url | https://arxiv.org/abs/2210.00309 |