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Title: Level set estimates for the discrete frequency function
Authors: Temur, Faruk
Keywords: Hardy-Littlewood maximal function
Frequency function
Averaging operators
Integral operators
Optimal intervals
Issue Date: Jul-2019
Publisher: Springer Verlag
Abstract: We introduce the discrete frequency function as a possible new approach to understanding the discrete Hardy-Littlewood maximal function. Considering that the discrete Hardy-Littlewood maximal function is given at each integer by the supremum of averages over intervals of integer length, we define the discrete frequency function at that integer as the value at which the supremum is attained. After verifying that the function is well-defined, we investigate size and smoothness properties of this function.
ISSN: 1069-5869
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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