Naslov
On maximal and variational Fourier restriction

Autori
Kovač, Vjekoslav

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Follow-up Workshop to Trimester Program Harmonic Analysis and Partial Differential Equations

Mjesto i datum
Bonn, Njemačka, 06.05.2019. - 10.05.2019

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Fourier transform ; restriction

Sažetak
The problem of restricting the Fourier transform of a non-integrable function to a hypersurface gained attention in the 1970s and is an active research field today. On the other hand, maximal Fourier restriction estimates were inaugurated recently by Mueller, Ricci, and Wright in order to give a pointwise meaning to the restriction of the Fourier transform of a function. We will discuss variational Fourier restriction estimates, which quantify the pointwise convergence in question. Moreover, we will sketch a simple abstract argument that deduces certain maximal and variational Fourier restriction estimates from ordinary a priori estimates. This is joint work with Diogo Oliveira e Silva.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA