Ana E. de Orellana

collaborators

4 papers

math.CA2026

Fourier restriction estimates based on $L^{q}$ -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 $p$ for which $L^{p} \to L^{2}$ 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…

math.PR2026

Fourier restriction for the additive Brownian sheet

Jonathan M. Fraser, Ana E. de Orellana

The Fourier restriction problem asks when it is meaningful to restrict the Fourier transform of a function to a given set. Many of the key examples are smooth co-dimension 1 manifo…

math.CA2025

$L^{2}$ restriction estimates from the Fourier spectrum

Marc Carnovale, Jonathan M. Fraser, Ana E. de Orellana

The Stein--Tomas restriction theorem is an important result in Fourier restriction theory. It gives a range of $q$ for which $L^{q} \to L^{2}$ restriction estimates hold for a given mea…

Fourier restriction estimates based on Lq-dimensions: beyond Stein--Tomas

Knapp-type obstructions in multilinear fractal Fourier extension

Fourier restriction for the additive Brownian sheet

L2 restriction estimates from the Fourier spectrum

Fourier restriction estimates based on $L^{q}$ -dimensions: beyond Stein--Tomas

$L^{2}$ restriction estimates from the Fourier spectrum