ListarMatemática por tema "Sparse bounds"
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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, ...