discrete maximal functions 1hardy-littlewood maximal operator 1harmonic analysis 1higher order derivatives 1l^p bounds 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.CA2026
Sharp higher order regularity of discrete maximal functions
Sung-Yi Liao, José Madrid, Eyvindur Palsson +1
The paper obtains sharp ℓ^p(Z) bounds for the first and second discrete derivatives of the uncentered Hardy‑Littlewood maximal operator applied to binary functions on the integers,…
math.CA2024
The Variation of the Uncentered Maximal Operator with respect to Cubes
Julian Weigt
We consider the maximal operator with respect to uncentered cubes on Euclidean space with arbitrary dimension. We prove that for any function with bounded variation, the variation…