David Beltran

activity

20142023

most citedVariable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds

42 citations · 104 across the 15 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.CA2023

Bochner-Riesz means at the critical index: Weighted and sparse bounds

David Beltran, Joris Roos, Andreas Seeger

We consider Bochner-Riesz means on weighted $L^{p}$ spaces, at the critical index $λ (p) = d (\frac{1}{p} - \frac{1}{2}) - \frac{1}{2}$ . For every $A_{1}$ -weight we obtain an extension of Vargas' weak…

math.CA2023

Off-diagonal estimates for the helical maximal function

David Beltran, Jennifer Duncan, Jonathan Hickman

The optimal $L^{p} \to L^{q}$ mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analys…

math.CA2023★ 1 cited

On sharp isoperimetric inequalities on the hypercube

David Beltran, Paata Ivanisvili, José Madrid

We prove the sharp isoperimetric inequality $E h_{A}^{l o g_{2} (3/2)} \geq μ (A)^{*} (lo g_{2} (1/ μ (A)^{*}))^{l o g_{2} (3/2)}$ for all sets $A \subseteq {0, 1}^{n}$ , wher…