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Mathematics > Classical Analysis and ODEs

Title: Pointwise ergodic theorems for some thin subsets of primes

Abstract: We establish pointwise ergodic theorems for operators of Radon type along subsets of prime numbers of the form $\big\{\{ \varphi_1(n)\} < \psi(n)\big\}$. We achieve this by proving $\ell^p(\mathbb{Z})$ boundedness of $r$-variations, where $p > 1$ and $r > 2$.
Subjects: Classical Analysis and ODEs (math.CA); Dynamical Systems (math.DS)
Cite as: arXiv:1803.05692 [math.CA]
  (or arXiv:1803.05692v1 [math.CA] for this version)

Submission history

From: Bartosz Trojan [view email]
[v1] Thu, 15 Mar 2018 11:03:16 GMT (18kb)