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.
|Number of pages||14|
|Publication status||Accepted/In press - 2 Aug 2020|