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math.CA2018
Maximal restriction estimates and the maximal function of the Fourier transform
João P. G. Ramos
We prove a maximal restriction inequality for the Fourier transform, providing an answer to a question left open by Müller, Ricci and Wright. Our methods are similar to the ones in…
math.CA2018
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…