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math.CA2025
The higher regularity of the discrete Hardy-Littlewood maximal function
Faruk Temur, Hikmet Burak Ãzcan
In a recent short note the first author gave the first positive result on the higher order regularity of the discrete noncentered Hardy-Littlewood maximal function. In this article…
math.CA2025
The second derivative of the discrete Hardy-Littlewood maximal function
Faruk Temur
The regularity of the Hardy-Littlewood maximal function, in both discrete and continuous contexts, and for both centered and noncentered variants, has been subjected to intense stu…
math.CA2024
Random exponential sums and lattice points in regions
Faruk Temur, Cihan SahillioÄulları
In this article we study two fundamental problems on exponential sums via randomization of frequencies with stochastic processes. These are the Hardy-Littlewood majorant problem, a…