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 2019Show all

4 papers · 1 filter

math.CA2019

The circular maximal operator on Heisenberg radial functions

David Beltran, Shaoming Guo, Jonathan Hickman +1

Lebesgue space estimates are obtained for the circular maximal function on the Heisenberg group $H^{1}$ restricted to a class of Heisenberg radial functions. Under this assu…

math.CA2019

Regularity of the centered fractional maximal function on radial functions

David Beltran, José Madrid

We study the regularity properties of the centered fractional maximal function $M_{β}$ . More precisely, we prove that the map $f \mapsto ∣\nabla M_{β} f ∣$ is bounded and continuous from…

math.CA2019★ 3 cited

Bilinear identities involving the $k$ -plane transform and Fourier extension operators

David Beltran, Luis Vega

We prove certain $L^{2} (R^{n})$ bilinear estimates for Fourier extension operators associated to spheres and hyperboloids under the action of the $k$ -plane transform. As the e…

math.CA2019

Endpoint Sobolev continuity of the fractional maximal function in higher dimensions

David Beltran, José Madrid

We establish continuity mapping properties of the non-centered fractional maximal operator $M_{β}$ in the endpoint input space $W^{1, 1} (R^{d})$ for $d \geq 2$ in the cases for…

The circular maximal operator on Heisenberg radial functions

Regularity of the centered fractional maximal function on radial functions

Bilinear identities involving the k-plane transform and Fourier extension operators

Endpoint Sobolev continuity of the fractional maximal function in higher dimensions

Bilinear identities involving the $k$ -plane transform and Fourier extension operators