On extremizing sequences for adjoint Fourier restriction to the sphere
Advances in Mathematics（2024）
Abstract
In this article, we develop a linear profile decomposition for the Lp→Lq adjoint Fourier restriction operator associated to the sphere, valid for exponent pairs p
Moremax{p,d+2dp′}, or if q=d+2dp′ and the operator norm exceeds a certain constant times the operator norm of the parabolic extension operator.
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Key words
Sharp Fourier restriction,Maximizers,Sphere
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