Ana E. de Orellana

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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.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…

math.CA2024

A Fourier analytic approach to exceptional set estimates for orthogonal projections

Jonathan M. Fraser, Ana E. de Orellana

Marstrand's celebrated projection theorem gives the Hausdorff dimension of the orthogonal projection of a Borel set in Euclidean space for almost all orthogonal projections. It is…

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

Knapp-type obstructions in multilinear fractal Fourier extension

L2 restriction estimates from the Fourier spectrum

A Fourier analytic approach to exceptional set estimates for orthogonal projections

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

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