42 citations · 104 across the 15 of their papers we have counts for
3 papers · 1 filter
Sharp local smoothing estimates for Fourier integral operators
David Beltran, Jonathan Hickman, Christopher D. Sogge
The theory of Fourier integral operators is surveyed, with an emphasis on local smoothing estimates and their applications. After reviewing the classical background, we describe so…
Regularity of fractional maximal functions through Fourier multipliers
David Beltran, João Pedro Ramos, Olli Saari
We prove endpoint bounds for derivatives of fractional maximal functions with either smooth convolution kernel or lacunary set of radii in dimensions . We also show that…
Variable coefficient Wolff-type inequalities and sharp local smoothing estimates for wave equations on manifolds
David Beltran, Jonathan Hickman, Christopher D. Sogge
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 estim…