Hickman, Jonathan
- Sharp estimates for oscillatory integral operators via polynomial\n partitioning
2017/10/27 by Larry Guth, Jonathan E. Hickman, Guth, Larry +3 · 5 citations
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Advanced Mathematical Physics Problems
- Improved bounds for the Kakeya maximal conjecture in higher dimensions
2019/08/14 by Jonathan Hickman, Keith M. Rogers, Hickman, Jonathan +3 · 3 citations
Mathematics · #28A78 #42B99 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Metric Geometry (math.MG)
- A note on Fourier restriction and nested Polynomial Wolff axioms
2020/10/05 by Jonathan Hickman, Hickman, Jonathan, Joshua Zahl +1 · 4 citations
Mathematics · #Tensor decomposition and applications #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory
- On a higher dimensional version of the Benjamin--Ono equation
2019/01/15 by Linares, Felipe, Riaño, Oscar G., Rogers, Keith M. +2 · 2 citations
#35B65 #35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics
- The circular maximal operator on Heisenberg radial functions
2019/12/25 by Beltran, David, Guo, Shaoming, Hickman, Jonathan +1 · 2 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Uniform Lp Resolvent Estimates on the Torus
2019/07/18 by Hickman, Jonathan · 1 citation
#11P21 #35J05 #35P20 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Sharp Lp estimates for oscillatory integral operators of arbitrary signature
2020/06/01 by Hickman, Jonathan, Iliopoulou, Marina · 1 citation
#42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Oscillatory integral operators and variable Schrödinger propagators: beyond the universal estimates
2024/07/09 by Chen, Mingfeng, Gan, Shengwen, Guo, Shaoming +3 · 2 citations
#42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Sharp Lp bounds for the helical maximal function
2021/02/16 by Beltran, David, Guo, Shaoming, Hickman, Jonathan +1 · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Off-diagonal estimates for the helical maximal function
2023/05/26 by Beltran, David, Duncan, Jennifer, Hickman, Jonathan · 1 citation
#42B20 #42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Spherical maximal estimates via geometry
2024/12/17 by Hickman, Jonathan, Jančar, Ajša · 1 citation
#42B25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Improved Lp bounds for the strong spherical maximal operator
2025/02/05 by Hickman, Jonathan, Zahl, Joshua · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics