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The sharp Stein-Tomas inequality on the circle
Abstract
We prove that constant functions are global maximizers for the endpoint Stein--Tomas inequality on π1, thereby determining its sharp constant. By the known characterization of the phases of maximizers, every nonzero maximizer then has the form f(Ο)=c eix0Β·Ο, where cβββ{0} and x0ββ2.
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BibTeX
@misc{wang2026sharp,
title = {{The sharp Stein-Tomas inequality on the circle}},
author = {Yaojun Wang},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01318},
eprint = {2611.01318},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01318},
}
RIS
TY - UNPB
TI - The sharp Stein-Tomas inequality on the circle
AU - Yaojun Wang
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01318
UR - https://arxiv.org/abs/2611.01318
AB - We prove that constant functions are global maximizers for the endpoint Stein--Tomas inequality on π^1, thereby determining its sharp constant. By the known characterization of the phases of maximizers, every nonzero maximizer then has the form f(Ο)=c e^ix_0Β·Ο, where cβββ{0} and x_0ββ^2.
ER -