On restriction of the Fourier transform to hypersufaces

2010/04/15 by Turakulov, D. D.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1004.2601

Abstract

It is considered Fourier transform of convex analytic hypersufaces on R⁴ . We prove that the Fourier restriction operator associated to convex analytic hypersufaces is \textit(L_p, L₂) bounded whenever 1≤ p≤ (2h+2)/(h+2). The result is sharp.

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