From the 1 of 7 linked papers with an AI index.
7 papers
Power weight inequalities for spherical maximal functions
Marco Fraccaroli, Joris Roos, Andreas Seeger
The paper characterizes the range of exponents for which spherical maximal operators with general dilation sets are bounded on weighted L^p spaces with power weights |x|^α, using t…
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.
Spherical maximal operators with fractal sets of dilations on radial functions
David Beltran, Joris Roos, Andreas Seeger
For a given set of dilations , Lebesgue space mapping properties of the spherical maximal operator with dilations restricted to are studied when acting on radia…
Sharp isoperimetric inequalities on the Hamming cube II: The critical exponent
Polona Durcik, Paata Ivanisvili, Joris Roos +1
A sharp isoperimetric inequality for the Hamming cube is proved at the critical exponent . This follows up on previous work, where such bounds were established for …
A blueprint for the formalization of Carleson's theorem on convergence of Fourier series
Lars Becker, MarÃa Inés de Frutos-Fernández, Leo Diedering +14
This paper is the blueprint underlying the Lean formalization of the proof of Carleson's classical result asserting almost everywhere convergence of Fourier series of continuous fu…
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…