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math.CA2025
Problems on spherical maximal functions
Joris Roos, Andreas Seeger
We survey old and new conjectures and results on various types of spherical maximal functions, emphasizing problems with a fractal dilation set.
math.CA2025
A fractal local smoothing problem for the wave equation
David Beltran, Joris Roos, Alex Rutar +1
For any given set , we discuss a fractal frequency-localized version of the local smoothing estimates for the half-wave propagator with times in . A conjec…