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math.CA2026
A lower bound for a variation norm operator associated with circular means
David Beltran, Anthony Carbery, Luz Roncal +1
We prove that a local variation norm estimate fails for circular means in two dimensions, and quantify this failure by proving lower bounds for functions of exponential…
math.CA2026
Power weight inequalities for spherical maximal functions
Marco Fraccaroli, Joris Roos, Andreas Seeger
This paper is about spherical maximal functions with general dilation sets acting on functions in weighted spaces. Aside from endpoint cases, a complete description of…