Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We study the boundedness problem for maximal operators in 3-dimensional Euclidean space associated to hypersurfaces given as the graph of , where is a mixed homogeneous function which is smooth away from the origin and is a constant. Our result generalizes a corresponding theorem on mixed homogeneous polynomial functions by A. Iosevich and E. Sawyer.
Keywords
Cite
@article{arxiv.math/0306429,
title = {Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces},
author = {I. A. Ikromov and M. Kempe and D. Mueller},
journal= {arXiv preprint arXiv:math/0306429},
year = {2007}
}
Comments
16 pages