On modulated ergodic theorems

DOI10.23952/JNVA.2.2018.2.03OpenAlexW2754888817MaRDI QIDQ4619796

Michael Lin, Tetyana Lobova

Publication date: 7 February 2019

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05322

zbMATH Keywords

contractionsmodulated ergodic theoremsweakly almost periodic operatorsHartman sequencesaveraging along the prime numbersdoubly power-bounded operators on \(L^r\)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Linear operators on function spaces (general) (47B38)

Related Items (5)

On the rate of convergence of weighted oscillating ergodic averages ⋮ Modulated \((C,\alpha)\)-ergodic theorems with non-integral orders for Dunford-Schwartz operators ⋮ Divergence of weighted square averages in \(L^1\) ⋮ Disjointness of the Möbius transformation and Möbius function ⋮ Noncommutative Wiener–Wintner type ergodic theorems

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