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

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We 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.
16 pages

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Classical Analysis and ODEs, 42B10, 42B25

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http://salesiana.dossiersoluciones.com/handle/123456789/67926

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306429
 http://arxiv.org/abs/math/0306429

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arXiv