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

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CA2021

Continuity of the gradient of the fractional maximal operator on $W^{1, 1} (R^{d})$

David Beltran, Cristian González-Riquelme, José Madrid +1

We establish that the map $f \mapsto ∣\nabla M_{α} f ∣$ is continuous from $W^{1, 1} (R^{d})$ to $L^{q} (R^{d})$ , where $α \in (0, d)$ , $q = \frac{d}{d - α}$ and $\mathca…

math.CA2021★ 9 cited

Sharp $L^{p}$ bounds for the helical maximal function

David Beltran, Shaoming Guo, Jonathan Hickman +1

We establish the $L^{p} (R^{3})$ boundedness of the helical maximal function for the sharp range $p > 3$ . Our results improve the previous known bounds for $p > 4$ . The key ingredi…

math.CA2021

Sobolev improving for averages over curves in $R^{4}$

David Beltran, Shaoming Guo, Jonathan Hickman +1

We study $L^{p}$ -Sobolev improving for averaging operators $A_{γ}$ given by convolution with a compactly supported smooth density $μ_{γ}$ on a non-degenerate curve. In particular, in 4 d…

Continuity of the gradient of the fractional maximal operator on W1,1(Rd)

Sharp Lp bounds for the helical maximal function

Sobolev improving for averages over curves in R4

Continuity of the gradient of the fractional maximal operator on $W^{1, 1} (R^{d})$

Sharp $L^{p}$ bounds for the helical maximal function

Sobolev improving for averages over curves in $R^{4}$