Cotlar's ergodic theorem along the prime numbers

DOI10.1007/s00041-015-9388-zzbMath1336.37010arXiv1311.7572OpenAlexW2964078877MaRDI QIDQ895429

Bartosz Trojan, Mariusz Mirek

Publication date: 3 December 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7572

zbMATH Keywords

pointwise convergenceprime numbersCotlar's ergodic theoremmaximal truncated Hilbert transform

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Special sequences (11K31)

Related Items (13)

On a discrete bilinear singular operator ⋮ Improving and maximal inequalities for primes in progressions ⋮ A discrete Carleson theorem along the primes with a restricted supremum ⋮ Variational estimates for averages and truncated singular integrals along the prime numbers ⋮ Discrete multilinear maximal functions and number theory ⋮ Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes ⋮ Variation estimates for averages along primes and polynomials ⋮ Ergodic theorems with arithmetical weights ⋮ \(\ell^p(\mathbb Z)\)-boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems ⋮ Averages along the primes: improving and sparse bounds ⋮ On the ergodic Waring-Goldbach problem ⋮ Variational estimates for discrete operators modeled on multi-dimensional polynomial subsets of primes ⋮ Endpoint estimates for the maximal function over prime numbers

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