M. Folch-Gabayet

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20182024

most citedThe Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation

1 citations · 1 across the 2 of their papers we have counts for

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math.CA2024

Estimates for strongly singular operators along curves

Magali Folch-Gabayet, Ricardo A. Sáenz

For a proper function $f$ on the plane, we study the operator \[ Tf(x,y) = \lim_{\varepsilon\to 0} \int_\varepsilon^1 f(x-t,y-t^k) \frac{e^{2πi γ(t)}}{ψ(t)} dt, \] where $k \geq 1$ an…

math.CA2020★ 1 cited

The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation

J. A. Barceló, M. Folch-Gabayet, T. Luque +2

The purpose of this paper is to characterize all the entire solutions of the homogeneous Helmholtz equation (solutions in $R^{d}$ ) arising from the Fourier extension operato…

math.CA2018

Weak-type (1,1) estimates for strongly singular operators

Magali Folch-Gabayet, Ricardo A. Sáenz

Let $ψ$ be a positive function defined near the origin such that $lim_{t \to 0^{+}} ψ (t) = 0$ . We consider the operator \begin{equation*} T_θf(x) = \lim_{\varepsilon\to 0^+} \int_\var…