Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces

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dc.creatorIkromov, I. A.
dc.creatorKempe, M.
dc.creatorMueller, D.
dc.date2003-06-30
dc.date.accessioned2026-07-07T04:59:17Z
dc.date.available2026-07-07T04:59:17Z
dc.descriptionWe study the boundedness problem for maximal operators in 3-dimensional Euclidean space associated to hypersurfaces given as the graph of $c+f$, where $f$ is a mixed homogeneous function which is smooth away from the origin and $c$ is a constant. Our result generalizes a corresponding theorem on mixed homogeneous polynomial functions by A. Iosevich and E. Sawyer.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0306429
dc.identifierhttp://arxiv.org/abs/math/0306429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67926
dc.subjectClassical Analysis and ODEs
dc.subject42B10, 42B25
dc.titleDamped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces
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