Literature: Discrete l^p-improving

Here is a collection of the literature on the l^p improving properites of discrete averages. This list is likely to be incomplete and will need periodical updating. Please email me with any omissions. When possible, I link to the published version of the article.

1. K. Hughes, ℓp -improving for discrete spherical averages
2. R. Kesler and M. Lacey, ℓp -improving inequalities for discrete spherical averages
3. R. Kesler, ℓp(Zd)-Improving Properties and Sparse Bounds for Discrete Spherical Maximal Averages
4. R. Han, M. Lacey, F. Yang, Averages along the Square Integers: ℓp improving and Sparse Inequalities
5. R. Kesler, M. Lacey, D. Mena, Sparse Bounds for the Discrete Spherical Maximal Function
6. T. Anderson, Quantitative lp-improving for discrete spherical averages along the primes
7. J. Madrid, A note about the lp-improving property of the average operators
8. R. Han, V. Kovac, M. Lacey, J. Madrid, F. Yang, Improving estimates for discrete polynomial averages