Sparse bounds for discrete singular Radon transforms

Theresa C. Anderson, Bingyang Hu, Joris Roos

Research output: Contribution to journalArticlepeer-review

Abstract

We show that discrete singular Radon transforms along a certain class of polynomial mappings P:Zd→Zn satisfy sparse bounds. For n=d=1 we can handle all polynomials. In higher dimensions, we pose restrictions on the admissible polynomial mappings stemming from a combination of interacting geometric, analytic and number-theoretic obstacles.
Original languageEnglish
Number of pages14
JournalCOLLOQUIUM MATHEMATICUM
Publication statusAccepted/In press - 2 Aug 2020

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