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math.CA2026
Fourier restriction estimates based on -dimensions: beyond Stein--Tomas
Marc Carnovale, Jonathan M. Fraser, Ana E. de Orellana
The well-known Stein--Tomas restriction theorem gives the sharp range of for which restriction estimates hold for the surface measure on the sphere. This was gener…
math.CA2026
Knapp-type obstructions in multilinear fractal Fourier extension
Itamar Oliveira, Ana E. de Orellana
For curved, smooth hypersurfaces, the classical Knapp example shows that the Stein--Tomas theorem, which gives linear Fourier restriction estimates, is sharp. Variants of this exam…