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

Beltran, D.; Vega, L.Autoridad BCAM (2019-11-30)
We prove certain L2pRnq bilinear estimates for Fourier extension operators associ- ated to spheres and hyperboloids under the action of the k-plane transform. As the estimates are L2-based, they follow from bilinear ...
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Endpoint Sobolev continuity of the fractional maximal function in higher dimensions 

Beltran, D.; Madrid, J. (2019)
We establish continuity mapping properties of the non-centered fractional maximal operator $M_{\beta}$ in the endpoint input space $W^{1,1}(\mathbb{R}^d)$ for $d \geq 2$ in the cases for which its boundedness is known. ...
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Bilinear identities involving the $k$-plane transform and Fourier extension operators 

Beltran, D.; Vega, L.Autoridad BCAM (2019)
We prove certain $L^2(\mathbb{R}^n)$ bilinear estimates for Fourier extension operators associated to spheres and hyperboloids under the action of the $k$-plane transform. As the estimates are $L^2$-based, they follow from ...
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Sparse bounds for pseudodifferential operators 

Beltran, D.; Cladek, L. (2018)
We prove sparse bounds for pseudodifferential operators associated to H\"ormander symbol classes. Our sparse bounds are sharp up to the endpoint and rely on a single scale analysis. As a consequence, we deduce a range of ...
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Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds 

Beltran, D.; Hickman, J.; Sogge, C.D. (2018)
The sharp Wolff-type decoupling estimates of Bourgain--Demeter are extended to the variable coefficient setting. These results are applied to obtain new sharp local smoothing estimates for wave equations on compact Riemannian ...
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Regularity of fractional maximal functions through Fourier multipliers 

Beltran, D.; Ramos, J.P.; Saari, O. (2018)
We prove endpoint bounds for derivatives of fractional maximal functions with either smooth convolution kernel or lacunary set of radii in dimensions $n \geq 2$. We also show that the spherical fractional maximal function ...

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Beltran, D. (6)
Vega, L. (2)Cladek, L. (1)Hickman, J. (1)Madrid, J. (1)Ramos, J.P. (1)Saari, O. (1)Sogge, C.D. (1)Subjectbilinear identities (2)Fourier extension operators (2)$k$-plane transform (1)Continuity (1)k-plane transform (1)Maximal function (1)Pseudodifferential operators, sparse domination, weighted theory (1)Sobolev spaces (1)... másFecha2019 (3)2018 (3)

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