Level Set Estimates for the Discrete Frequency Function
| dc.contributor.author | Temur, Faruk | |
| dc.coverage.doi | 10.1007/s00041-018-9595-5 | |
| dc.date.accessioned | 2020-07-25T22:17:45Z | |
| dc.date.available | 2020-07-25T22:17:45Z | |
| dc.date.issued | 2019 | |
| dc.description.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. | en_US |
| dc.identifier.doi | 10.1007/s00041-018-9595-5 | |
| dc.identifier.doi | 10.1007/s00041-018-9595-5 | en_US |
| dc.identifier.issn | 1069-5869 | |
| dc.identifier.issn | 1531-5851 | |
| dc.identifier.scopus | 2-s2.0-85041117960 | |
| dc.identifier.uri | https://doi.org/10.1007/s00041-018-9595-5 | |
| dc.identifier.uri | https://hdl.handle.net/11147/9615 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Verlag | en_US |
| dc.relation.ispartof | Journal of Fourier Analysis And Applications | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Hardy-Littlewood maximal function | en_US |
| dc.subject | Frequency function | en_US |
| dc.subject | Averaging operators | en_US |
| dc.subject | Integral operators | en_US |
| dc.subject | Optimal intervals | en_US |
| dc.title | Level Set Estimates for the Discrete Frequency Function | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | 0000-0003-1519-4082 | |
| gdc.author.id | 0000-0003-1519-4082 | en_US |
| gdc.author.institutional | Temur, Faruk | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 1025 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1008 | en_US |
| gdc.description.volume | 25 | en_US |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2625759998 | |
| gdc.identifier.wos | WOS:000468789900017 | |
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| gdc.oaire.keywords | Mathematics - Classical Analysis and ODEs | |
| gdc.oaire.keywords | Classical Analysis and ODEs (math.CA) | |
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