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

dc.contributor.author	Maalaoui, Aleksandra
dc.contributor.chair	Muscalu, Camil
dc.contributor.committeeMember	Strichartz, Robert Stephen
dc.contributor.committeeMember	Saloff-Coste, Laurent Pascal
dc.date.accessioned	2021-12-20T20:48:34Z
dc.date.available	2022-03-10T07:00:20Z
dc.date.issued	2021-08
dc.description	71 pages
dc.description.abstract	We prove 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 study of PDEs.
dc.identifier.doi	https://doi.org/10.7298/e8td-3406
dc.identifier.other	Maalaoui_cornellgrad_0058F_12770
dc.identifier.other	http://dissertations.umi.com/cornellgrad:12770
dc.identifier.uri	https://hdl.handle.net/1813/110607
dc.language.iso	en
dc.subject	Fourier Integral Operators
dc.subject	Multilinear Fractional Integrals
dc.title	Iterated Fractional Integrals and Applications to Fourier Integral Operators with Rational Symbol
dc.type	dissertation or thesis
dcterms.license	https://hdl.handle.net/1813/59810
thesis.degree.discipline	Mathematics
thesis.degree.grantor	Cornell University
thesis.degree.level	Doctor of Philosophy
thesis.degree.name	Ph. D., Mathematics

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