Pointwise ergodic theorems for some thin subsets of primes
Classical Analysis and ODEs
2019-02-15 v2 Dynamical Systems
Abstract
We establish pointwise ergodic theorems for operators of Radon type along subsets of prime numbers of the form . We achieve this by proving boundedness of -variations, where and .
Cite
@article{arxiv.1803.05692,
title = {Pointwise ergodic theorems for some thin subsets of primes},
author = {Bartosz Trojan},
journal= {arXiv preprint arXiv:1803.05692},
year = {2019}
}