Iterated Fractional Integrals and Applications to Fourier Integral Operators with Rational Symbols

Nom de l'orateur
Aleksandra Maalaoui
Etablissement de l'orateur
College of the Holy Cross
Date et heure de l'exposé
Lieu de l'exposé
zoom et salle des seminaires
In this talk, we discuss the proof of a full range of strong type $L^p$ estimates for a family of trilinear iterated fractional integral operators, including restricted weak type estimates for a select set of endpoints. Afterward, we apply our result to prove mixed norm estimates for certain types of Fourier integral operators with rational symbol which appear naturally in the studyof certain PDEs.