Discrete Fractional Integral Operators With Binary Quadratic Forms as Phase Polynomials
| dc.contributor.author | Temur, Faruk | |
| dc.contributor.author | Sert, Ezgi | |
| dc.coverage.doi | 10.1016/j.jfa.2019.108287 | |
| dc.date.accessioned | 2020-07-18T08:34:06Z | |
| dc.date.available | 2020-07-18T08:34:06Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We give estimates on discrete fractional integral operators along binary quadratic forms. These operators have been studied for 30 years starting with the investigations of Arkhipov and Oskolkov, but efforts have concentrated on cases where the phase polynomial is translation invariant or quasi-translation invariant. This work presents the first results for operators with neither translation invariant nor quasi-translation invariant phase polynomials. (C) 2019 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.jfa.2019.108287 | |
| dc.identifier.issn | 0022-1236 | |
| dc.identifier.issn | 1096-0783 | |
| dc.identifier.scopus | 2-s2.0-85069841610 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jfa.2019.108287 | |
| dc.identifier.uri | https://hdl.handle.net/11147/8896 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press | en_US |
| dc.relation.ispartof | Journal of Functional Analysis | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Discrete fractional integral operators | en_US |
| dc.subject | Discrete singular Radon transforms | en_US |
| dc.subject | Binary quadratic forms | en_US |
| dc.title | Discrete Fractional Integral Operators With Binary Quadratic Forms as Phase Polynomials | en_US |
| dc.type | Article | en_US |
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| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 277 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2963273697 | |
| gdc.identifier.wos | WOS:000493581900004 | |
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