33 citations · 87 across the 14 of their papers we have counts for
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math.CA2019★ 10 cited
Upper bounds for Fourier decay rates of fractal measures
Xiumin Du
For spherical and parabolic averages of the Fourier transform of fractal measures, we obtain new upper bounds on rates of decay by an "intermediate dimension" trick.
math.CA2019★ 11 cited
Lower bounds for estimates of the Schrödinger maximal function
Xiumin Du, Jongchon Kim, Hong Wang +1
We give new lower bounds for estimates of the Schrödinger maximal function by generalizing an example of Bourgain.