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math.CA2026
On the variation and asymptotics of maximal functions
Emanuel Carneiro, Julian Weigt
In this paper we present partial progress towards two conjectures on the variation of maximal operators of convolution type , associated to non-negative and radial de…
math.CA2026
Sharp higher order regularity of discrete maximal functions
Sung-Yi Liao, José Madrid, Eyvindur Palsson +1
We derive sharp bounds for the th derivative of the discrete uncentered maximal operator applied to characteristic functions in the…