35 citations · 210 across the 41 of their papers we have counts for
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Sharp variation-norm estimates for oscillatory integrals related to Carleson's theorem
Shaoming Guo, Joris Roos, Po-Lam Yung
We prove variation-norm estimates for certain oscillatory integrals related to Carleson's theorem. Bounds for the corresponding maximal operators were first proven by Stein and Wai…
A remark on oscillatory integrals associated with fewnomials
Shaoming Guo
We prove that the bound of an oscillatory integral associated with a polynomial depends only on the number of monomials that this polynomial consists of.
Square functions for bi-Lipschitz maps and directional operators
Francesco Di Plinio, Shaoming Guo, Christoph Thiele +1
First we prove a Littlewood-Paley diagonalization result for bi-Lipschitz perturbations of the identity map on the real line. This result entails a number of corollaries for the Hi…
On a binary system of Prendiville: The cubic case
Shaoming Guo
We prove sharp decoupling inequalities for a class of two dimensional non-degenerate surfaces in R^5, introduced by Prendiville. As a consequence, we obtain sharp bounds on the num…