3 papers
math.CA2026
Polynomial Ergodic Averages Along Short Intervals
Anastasios Fragkos, Hamed Mousavi, Amelia Stokolosa
We study pointwise convergence of polynomial ergodic averages over short intervals whose left endpoints tend to infinity. For a polynomial orbit of degree and doubly lacun…
math.CA2024
Tame algebra estimates for product and flag kernels on graded Lie groups
Amelia Stokolosa
We prove that product kernels and flag kernels on a direct product of graded Lie groups satisfy so-called \emph{tame algebra estimates}. Tame algebra…
math.CA2023
A study guide for "Trilinear smoothing inequalities and a variant of the triangular Hilbert transform"
Martin Hsu, Fred Yu-Hsiang Lin, Amelia Stokolosa
This article is a study guide for "Trilinear smoothing inequalities and a variant of the triangular Hilbert transform" by Christ, Durcik, and Roos. We first present the standard te…