R. Kesler

most citedSparse Bounds for Discrete Quadratic Phase Hilbert Transform

2 citations · 2 across the 1 of their papers we have counts for

collaborators

5 papers

math.CA2018

Sparse Bounds for the Discrete Spherical Maximal Function

Robert Kesler, Michael T. Lacey, Darío Mena

We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proo…

math.CA2018

$ℓ^{p} (Z^{d})$ -Improving Properties and Sparse Bounds for Discrete Spherical Maximal Means, Revisited

Robert Kesler

We prove an expanded range of $ℓ^{p} (Z^{d})$ -improving properties and sparse bounds for discrete spherical maximal means in every dimension $d \geq 6$ . Essential elements…

math.CA2018

$ℓ^{p} (Z^{d})$ -Improving Properties and Sparse Bounds for Discrete Spherical Maximal Averages

Robert Kesler

We exhibit a range of $ℓ^{p} (Z^{d})$ -improving properties for the discrete spherical maximal average in every dimension $d \geq 5$ . The strategy used to show these improv…

math.CA2018

$ℓ^{p}$ -improving inequalities for Discrete Spherical Averages

Robert Kesler, Michael T. Lacey

Let $λ^{2} \in N$ , and in dimensions $d \geq 5$ , let $A_{λ} f (x)$ denote the average of $f : Z^{d} \to R$ over the lattice points on the sphere of…

math.CA2017★ 2 cited

Sparse Bounds for Discrete Quadratic Phase Hilbert Transform

Robert Kesler, Darío Mena

Consider the discrete quadratic phase Hilbert Transform acting on $ℓ^{2}$ finitely supported functions $H^{α} f (n) := m \neq = 0 \sum \frac{e ^{2 π i α m^{2}} f ( n - m )}{m} .$ We pro…

Sparse Bounds for the Discrete Spherical Maximal Function

ℓp(Zd)-Improving Properties and Sparse Bounds for Discrete Spherical Maximal Means, Revisited

ℓp(Zd)-Improving Properties and Sparse Bounds for Discrete Spherical Maximal Averages

ℓp-improving inequalities for Discrete Spherical Averages

Sparse Bounds for Discrete Quadratic Phase Hilbert Transform

$ℓ^{p} (Z^{d})$ -Improving Properties and Sparse Bounds for Discrete Spherical Maximal Means, Revisited

$ℓ^{p} (Z^{d})$ -Improving Properties and Sparse Bounds for Discrete Spherical Maximal Averages

$ℓ^{p}$ -improving inequalities for Discrete Spherical Averages