35 citations · 168 across the 30 of their papers we have counts for
6 papers · 1 filter
Decoupling for two quadratic forms in three variables: a complete characterization
Shaoming Guo, Changkeun Oh, Joris Roos +2
We prove sharp decoupling inequalities for all degenerate surfaces of codimension two in given by two quadratic forms in three variables. Together with previous work…
Sparse bounds for discrete singular Radon transforms
Theresa C. Anderson, Bingyang Hu, Joris Roos
We show that discrete singular Radon transforms along a certain class of polynomial mappings satisfy sparse bounds. For we can handle all p…
Discrete analogues of maximally modulated singular integrals of Stein-Wainger type
Ben Krause, Joris Roos
Consider the maximal operator $$\mathscr{C} f(x) = \sup_{λ\in\mathbb{R}}\Big|\sum_{\substack{y\in\mathbb{Z}^n\setminus\{0\}}} f(x-y) e(λ|y|^{2d}) K(y)\Big|,\quad (x\in\mathbb{Z}^n)…
Reversing a philosophy: from counting to square functions and decoupling
Philip T. Gressman, Shaoming Guo, Lillian B. Pierce +2
Breakthrough work of Bourgain, Demeter, and Guth recently established that decoupling inequalities can prove powerful results on counting integral solutions to systems of Diophanti…
Maximal functions associated with families of homogeneous curves: bounds for
Shaoming Guo, Joris Roos, Andreas Seeger +1
Let , be the maximal operator and Hilbert transform along the parabola . For we consider estimates for the maximal functio…
A maximal function for families of Hilbert transforms along homogeneous curves
Shaoming Guo, Joris Roos, Andreas Seeger +1
Let be the Hilbert transform along the parabola where . For a set of positive numbers consider the maximal function $\mathcal{H}^U \!f= \s…