dc.contributor.author | Anderson, Theresa C. | |
dc.contributor.author | Maldague, Dominique | |
dc.contributor.author | Pierce, Lillian B. | |
dc.contributor.author | Yung, Po-Lam | |
dc.date.accessioned | 2025-06-25T19:25:28Z | |
dc.date.available | 2025-06-25T19:25:28Z | |
dc.date.issued | 2024-08-23 | |
dc.identifier.uri | https://hdl.handle.net/1721.1/159787 | |
dc.description.abstract | We 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.publisher | Springer US | en_US |
dc.relation.isversionof | https://doi.org/10.1007/s12220-024-01676-9 | en_US |
dc.rights | Article 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.source | Springer US | en_US |
dc.title | On Polynomial Carleson Operators Along Quadratic Hypersurfaces | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Anderson, 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.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.relation.journal | The Journal of Geometric Analysis | en_US |
dc.eprint.version | Author's final manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2025-03-27T13:49:39Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | Mathematica Josephina, Inc. | |
dspace.embargo.terms | Y | |
dspace.date.submission | 2025-03-27T13:49:39Z | |
mit.journal.volume | 34 | en_US |
mit.license | PUBLISHER_POLICY | |
mit.metadata.status | Authority Work and Publication Information Needed | en_US |