Two quantitative versions of the Nonlinear Carleson Conjecture
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912696907071488 |
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| author | Denisov, Sergey A. |
| author_facet | Denisov, Sergey A. |
| contents | This note compares two quantitative versions of the Nonlinear Carleson Conjecture (NCC). We provide motivations for our conjectures and show that they both imply the NCC. We discuss the connection to Carleson-Hunt maximal functions and give an SU(1,1) version of Calderon's theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06788 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two quantitative versions of the Nonlinear Carleson Conjecture Denisov, Sergey A. Analysis of PDEs Classical Analysis and ODEs This note compares two quantitative versions of the Nonlinear Carleson Conjecture (NCC). We provide motivations for our conjectures and show that they both imply the NCC. We discuss the connection to Carleson-Hunt maximal functions and give an SU(1,1) version of Calderon's theorem. |
| title | Two quantitative versions of the Nonlinear Carleson Conjecture |
| topic | Analysis of PDEs Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2505.06788 |