Noncommutative maximal ergodic inequalities associated with doubling conditions

DOI10.1215/00127094-2020-0034zbMath1471.46062arXiv1705.04851OpenAlexW3095826042WikidataQ114060430 ScholiaQ114060430MaRDI QIDQ2657472

Simeng Wang, Ben Liao, Guixiang Hong

Publication date: 12 March 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04851

zbMATH Keywords

noncommutative \(L_p\)-spacesindividual ergodic theoremsmaximal ergodic theoremsHardy-Littlewood maximal inequalitiestransference principles

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (9)

A noncommutative weak type \((1,1)\) estimate for a square function from ergodic theory ⋮ Maximal singular integral operators acting on noncommutative \(L_p\)-spaces ⋮ Quantitative mean ergodic inequalities: power bounded operators acting on one single noncommutative \(L_p\) space ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ The sharp weighted maximal inequalities for noncommutative martingales ⋮ Non-commutative ergodic averages of balls and spheres over Euclidean spaces ⋮ On the non-commutative Neveu decomposition and ergodic theorems for amenable group action ⋮ Operator-valued anisotropic Hardy and BMO spaces ⋮ Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori

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