- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:45
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
25
2009
2
Triple Hilbert transforms along polynomial surfaces in $\mathbb{R}^4$
Anthony
Carbery
University of Edinburgh, EDINBURGH, UNITED KINGDOM
Stephen
Wainger
University of Wisconsin at Madison, MADISON, UNITED STATES
James
Wright
University of Edinburgh, EDINBURGH, UNITED KINGDOM
Hilbert transform, Newton polyhedron and oscillatory integrals
We investigate the $L^2$ boundedness of the triple Hilbert transform along the surface given by the graph of a real polynomial $P$ of three variables. We are interested in understanding the relationship between the geometric properties of the Newton polyhedron of $P$ and the analytic property of $L^2$ boundedness.
Fourier analysis
General
471
519
10.4171/RMI/573
http://www.ems-ph.org/doi/10.4171/RMI/573