42 citations · 118 across the 19 of their papers we have counts for
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math.CA2023
Off-diagonal estimates for the helical maximal function
David Beltran, Jennifer Duncan, Jonathan Hickman
The optimal mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analys…
math.CA2023
Lacunary maximal functions on homogeneous groups
Aswin Govindan Sheri, Jonathan Hickman, James Wright
We observe that classical arguments of Ricci--Stein can be used to prove bounds for maximal functions associated to lacunary dilates of a fixed measure in the setting of homo…
math.CA2023
Pointwise convergence for the Schrödinger equation [After Xiumin Du and Ruixiang Zhang]
Jonathan Hickman
This expository essay accompanied the author's presentation at the Séminaire Bourbaki on 01 April 2023. It describes the breakthrough work of Du--Zhang on the Carleson problem for…