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https://hdl.handle.net/11147/9615
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 |
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. | URI: | https://doi.org/10.1007/s00041-018-9595-5 https://hdl.handle.net/11147/9615 |
ISSN: | 1069-5869 1531-5851 |
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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File | Description | Size | Format | |
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Temur2019_Article.pdf | Makale (Article) | 555.65 kB | Adobe PDF | ![]() View/Open |
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