Discrete fractional integral operators with binary quadratic forms as phase polynomials
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ID: 283447
2018
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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.
| Reference Key |
sert2018discrete
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|---|---|
| Authors | Faruk Temur; Ezgi Sert |
| Journal | arXiv |
| Year | 2018 |
| DOI |
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