15 citations · 28 across the 6 of their papers we have counts for
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math.CA2005
Mixed norm estimates for certain generalized Radon transforms
Michael Christ, M. Burak Erdogan
In this paper we investigate the mapping properties in Lebesgue-type spaces of certain generalized Radon transforms defined by integration over curves.
math.CA2005★ 1 cited
Finite bounds for Holder-Brascamp-Lieb multilinear inequalities
Jonathan Bennett, Anthony Carbery, Michael Christ +1
A criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalities of Holder, Young, and Loomi…
math.CA2003★ 5 cited
On multilinear oscillatory integrals, nonsingular and singular
Michael Christ, Xiaochun Li, Terence Tao +1
Basic questions concerning nonsingular multilinear operators with oscillatory factors are posed and partially answered. Lebesgue space norm inequalities are established for multili…