The behaviour of square functions from ergodic theory in 𝐿^{∞}

DOI10.1090/proc12737zbMath1325.42022arXiv1410.1574OpenAlexW2962867017MaRDI QIDQ2944853

Guixiang Hong

Publication date: 8 September 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1574

zbMATH Keywords

dyadic BMOergodic theorysquare functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Integral operators (47G10)

Related Items (8)

Jump and variational inequalities for rough operators ⋮ Jump estimates for operators associated with polynomials ⋮ Quantitative mean ergodic inequalities: power bounded operators acting on one single noncommutative \(L_p\) space ⋮ Noncommutative pointwise convergence of orthogonal expansions of several variables ⋮ Quantitative weighted bounds for the \(q\)-variation of singular integrals with rough kernels ⋮ Weighted jump and variational inequalities for rough operators ⋮ Vector valued \(q\)-variation for differential operators and semigroups. I ⋮ Weak boundedness of operator-valued Bochner-Riesz means for the Dunkl transform

Cites Work

• Oscillation in ergodic theory: Higher dimensional results
• Oscillation and variation for the Hilbert transform
• Oscillation in ergodic theory
• Unnamed Item

This page was built for publication: The behaviour of square functions from ergodic theory in 𝐿^{∞}