Maximal functions associated with families of homogeneous curves: L<sup>p</sup> bounds for P ≤ 2

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dc.contributor.authorGuo, Shaomingen
dc.contributor.authorRoos, Jorisen
dc.contributor.authorSeeger, Andreasen
dc.contributor.authorYung, Po Lamen
dc.date.accessioned2026-01-01T11:40:57Z
dc.date.available2026-01-01T11:40:57Z
dc.date.issued2019-06-13en
dc.description.abstractLet M(u), H(u) be the maximal operator and Hilbert transform along the parabola (t, ut2). For U (0, ∞) we consider Lp estimates for the maximal functions sup u U|M(u)f| and sup u U|H(u)f|, when 1 < p ≤ 2. The parabolas can be replaced by more general non-flat homogeneous curves.en
dc.description.sponsorshipAcknowledgements. S.G. was supported in part by NSF grant 1800274. A.S. was supported in part by NSF grant 1764295. P.Y. was partially supported by a General Research Fund CUHK14303817 from the Hong Kong Research Grant Council, and a direct grant for research from the Chinese University of Hong Kong (4053341).en
dc.description.statusPeer-revieweden
dc.format.extent15en
dc.identifier.issn0013-0915en
dc.identifier.otherORCID:/0000-0002-0441-3625/work/164552548en
dc.identifier.scopus85079515440en
dc.identifier.urihttps://hdl.handle.net/1885/733800047
dc.language.isoenen
dc.rightsPublisher Copyright: © 2020 Edinburgh Mathematical Society.en
dc.sourceProceedings of the Edinburgh Mathematical Societyen
dc.subjectHilbert transforms along curvesen
dc.subjectmaximal and singular Radon transformsen
dc.subjectmaximal functionsen
dc.titleMaximal functions associated with families of homogeneous curves: L<sup>p</sup> bounds for P ≤ 2en
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage412en
local.bibliographicCitation.startpage398en
local.contributor.affiliationGuo, Shaoming; University of Wisconsin-Madisonen
local.contributor.affiliationRoos, Joris; University of Wisconsin-Madisonen
local.contributor.affiliationSeeger, Andreas; University of Wisconsin-Madisonen
local.contributor.affiliationYung, Po Lam; Mathematical Sciences Institute Research, Mathematical Sciences Institute, ANU College of Systems and Society, The Australian National Universityen
local.identifier.citationvolume63en
local.identifier.doi10.1017/S0013091519000439en
local.identifier.pure44a6d09c-2689-448c-9199-6fa9f75145fben
local.identifier.urlhttps://www.scopus.com/pages/publications/85079515440en
local.type.statusE-pub ahead of printen

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