%0 Journal Article
%T Variation estimates for averages along primes and polynomials
%A Pavel Zorin-Kranich
%J Mathematics
%D 2014
%I arXiv
%R 10.1016/j.jfa.2014.10.018
%X We prove $q$-variation estimates, $q>2$, on $\ell^{p}$ spaces for averages along primes (with $1<p<\infty$) and polynomials (with $\big| \frac1p - \frac12 \big| < \frac{1}{2(d+1)}$, where $d$ is the degree of the polynomial). This improves the pointwise ergodic theorems for these averages in the corresponding ranges of $L^{p}$ spaces.
%U http://arxiv.org/abs/1403.4085v4