Lyall, Neil and Magyar, Ákos and Newman, Alex and Woolfitt, Peter (2021) The discrete spherical maximal function: A new proof of ζ2-boundedness. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 149 (12). pp. 5305-5312. ISSN 0002-9939
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Official URL: http://doi.org/10.1090/proc/15639
Abstract
We provide a new direct proof of the ζ2-boundedness of the Discrete Spherical Maximal Function that neither relies on abstract transference theorems (and hence Stein's Spherical Maximal Function Theorem) nor on delicate asymptotics for the Fourier transform of discrete spheres.
| Item Type: | Article |
|---|---|
| Additional Information: | Export Date: 23 May 2022 Funding details: 1600840, 1702411 Funding text 1: Received by the editors September 7, 2020, and, in revised form, April 6, 2021. 2020 Mathematics Subject Classification. Primary 42B25. The first and second authors were partially supported by grants NSF-DMS 1702411 and NSF-DMS 1600840, respectively. |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 23 May 2022 11:54 |
| Last Modified: | 23 May 2022 11:54 |
| URI: | http://real.mtak.hu/id/eprint/142994 |
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