Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere
نویسندگان
چکیده
We show that, possibly after a compactification of spacetime, constant functions are local maximizers the Tomas-Stein adjoint Fourier restriction inequality for cone and paraboloid in every dimension, sphere dimension up to 60. For we work from PDE framework, which enables use Penrose Lens transformations, map conjectured optimal into constants.
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2022
ISSN: ['2157-5045', '1948-206X']
DOI: https://doi.org/10.2140/apde.2022.15.1097