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- W4362679428 abstract "A well known conjecture states that constant functions are extremizers of the $L^2 to L^6$ Tomas-Stein extension inequality for the circle. We prove that functions supported in a $sqrt{6}/80$-neighbourhood of a pair of antipodal points on $S^1$ satisfy the conjectured sharp inequality. In the process, we make progress on a programm formulated in arXiv:1509.06674 to prove the sharp inequality for all functions." @default.
- W4362679428 created "2023-04-07" @default.
- W4362679428 creator A5005130277 @default.
- W4362679428 date "2023-04-05" @default.
- W4362679428 modified "2023-09-26" @default.
- W4362679428 title "Sharp Fourier extension for functions with localized support on the circle" @default.
- W4362679428 doi "https://doi.org/10.48550/arxiv.2304.02345" @default.
- W4362679428 hasPublicationYear "2023" @default.
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