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• #### Sparse bounds for Bochner–Riesz multiplers ﻿

(2019)
The Bochner–Riesz multipliers are shown to satisfy a range of sparse bounds. The range of sparse bounds increases to the optimal range, as δ increases to the critical value, even assuming only partial information on the ...
• #### Uniform sparse bounds for discrete quadratic phase Hilbert transforms ﻿

(2017-09)
Consider the discrete quadratic phase Hilbert Transform acting on $\ell^{2}(\mathbb{Z})$ finitely supported functions $$H^{\alpha} f(n) : = \sum_{m \neq 0} \frac{e^{i\alpha m^2} f(n - m)}{m}.$$ We prove that, ...