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dc.contributor.authorAnderson, Theresa C.
dc.contributor.authorMaldague, Dominique
dc.contributor.authorPierce, Lillian B.
dc.contributor.authorYung, Po-Lam
dc.date.accessioned2025-06-25T19:25:28Z
dc.date.available2025-06-25T19:25:28Z
dc.date.issued2024-08-23
dc.identifier.urihttps://hdl.handle.net/1721.1/159787
dc.description.abstractWe prove that a maximally modulated singular oscillatory integral operator along a hypersurface defined by ( y , Q ( y ) ) ⊆ R n + 1 , for an arbitrary non-degenerate quadratic form Q, admits an a priori bound on L p for all 1 < p < ∞ , for each n ≥ 2 . This operator takes the form of a polynomial Carleson operator of Radon-type, in which the maximally modulated phases lie in the real span of { p 2 , … , p d } for any set of fixed real-valued polynomials p j such that p j is homogeneous of degree j, and p 2 is not a multiple of Q(y). The general method developed in this work applies to quadratic forms of arbitrary signature, while previous work considered only the special positive definite case Q ( y ) = | y | 2 .en_US
dc.publisherSpringer USen_US
dc.relation.isversionofhttps://doi.org/10.1007/s12220-024-01676-9en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceSpringer USen_US
dc.titleOn Polynomial Carleson Operators Along Quadratic Hypersurfacesen_US
dc.typeArticleen_US
dc.identifier.citationAnderson, T.C., Maldague, D., Pierce, L.B. et al. On Polynomial Carleson Operators Along Quadratic Hypersurfaces. J Geom Anal 34, 321 (2024).en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.relation.journalThe Journal of Geometric Analysisen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2025-03-27T13:49:39Z
dc.language.rfc3066en
dc.rights.holderMathematica Josephina, Inc.
dspace.embargo.termsY
dspace.date.submission2025-03-27T13:49:39Z
mit.journal.volume34en_US
mit.licensePUBLISHER_POLICY
mit.metadata.statusAuthority Work and Publication Information Neededen_US


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