Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/8896
Title: Discrete fractional integral operators with binary quadratic forms as phase polynomials
Authors: Temur, Faruk
Sert, Ezgi
Keywords: Discrete fractional integral operators
Discrete singular Radon transforms
Binary quadratic forms
Issue Date: 2019
Publisher: Academic Press
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.
URI: https://doi.org/10.1016/j.jfa.2019.108287
https://hdl.handle.net/11147/8896
ISSN: 0022-1236
1096-0783
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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