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math.CA2024★ 1 cited
Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities
Hong Wang, Shukun Wu
We propose to study the restriction conjecture using decoupling theorems and two-ends Furstenberg inequalities. Specifically, we pose a two-ends Furstenberg conjecture, which impli…
math.CA2024
Szemerédi-Trotter bounds for tubes and applications
Ciprian Demeter, Hong Wang
We prove sharp estimates for incidences involving planar tubes that satisfy packing conditions. We apply them to improve the estimates for the Fourier transform of fractal measures…
math.CA2024
weighted Fourier restriction estimates
Xiumin Du, Jianhui Li, Hong Wang +1
We obtain some sharp weighted Fourier restriction estimates of the form , where is the Fourier extension operator o…