1 citations · 2 across the 6 of their papers we have counts for
7 papers
Kakeya and Furstenberg problems for sticky sets of tubes
Hong Wang, Dmitrii Zakharov
We study incidence problems for sticky sets of tubes. In the first part, we prove a sharp Furstenberg set estimate for sticky sets of tubes in satisfying convex Wolff…
A streamlined proof of the Kakeya set conjecture in
Larry Guth, Hong Wang, Joshua Zahl
We present a streamlined and simplified proof of the Kakeya set conjecture in .
Heilbronn's triangle problem in three dimensions
Dominique Maldague, Hong Wang, Dmitrii Zakharov
We show that among any points in the unit cube one can find a triangle of area at most for some absolute constant . This gives the first non-trivial upper bo…
Two-ends Furstenberg estimates in the plane
Hong Wang, Shukun Wu
We prove two-ends Furstenberg estimates in the plane for a Katz-Tao -set of lines, for general .
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…
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…
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…