Vector valued \(q\)-variation for ergodic averages and analytic semigroups

DOI10.1016/j.jmaa.2016.01.043zbMath1336.47045OpenAlexW2284419762MaRDI QIDQ5964418

Guixiang Hong, Tao Ma

Publication date: 29 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.043

zbMATH Keywords

variational inequalitiesextrapolationanalytic semigroupsergodic averagespointwise convergence rateUMD lattices

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) Maximal functions, Littlewood-Paley theory (42B25) One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Banach lattices (46B42)

Related Items (12)

Jump and variational inequalities for rough operators ⋮ Boundedness of oscillation and variation of semigroups in Musielak-Orlicz-Hardy spaces ⋮ Noncommutative pointwise convergence of orthogonal expansions of several variables ⋮ Vector-valued \(q\)-variational inequalities for averaging operators and the Hilbert transform ⋮ Weighted jump and variational inequalities for rough operators ⋮ Weighted variation inequalities for differential operators and singular integrals in higher dimensions ⋮ Boundedness of oscillation and variation of semigroups associated with Bessel Schrödinger operators ⋮ Vector valued \(q\)-variation for differential operators and semigroups. I ⋮ Weak boundedness of operator-valued Bochner-Riesz means for the Dunkl transform ⋮ An operator-valued \(T1\) theory for symmetric CZOs ⋮ Non-commutative ergodic averages of balls and spheres over Euclidean spaces ⋮ Dimension-free estimates for the vector-valued variational operators

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