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20142026
most citedMaximal operators and Hilbert transforms along variable non-flat homogeneous curves

35 citations · 210 across the 41 of their papers we have counts for

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Showing 2017 · math.CAShow all

3 papers · 2 filters

math.CA2017★ 14 cited

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…

math.CA2017★ 3 cited

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.

math.CA2017★ 22 cited

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…