D. Mena

most citedSparse Bounds for Discrete Quadratic Phase Hilbert Transform

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

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math.CA2025

Weighted Weak Type estimates for non-integral Square Functions

Dario Mena, Maria Carmen Reguera, Luz Roncal

We provide quantitative weighted weak type estimates for non-integral square functions in the critical case $p = 2$ in terms of the $A_{p}$ and reverse Hölder constants associated to t…

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.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…