Variational characterization of Hp

DOI10.1017/prm.2018.72zbMath1428.42030arXiv1706.01673OpenAlexW2963316310MaRDI QIDQ5244474

Hong Hai Liu

Publication date: 21 November 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01673

zbMATH Keywords

Hardy spacesvariation operatorsjump operatorsapproximate of identities

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (4)

Variational characterizations of weighted Hardy spaces and weighted spaces ⋮ VARIATIONAL INEQUALITIES FOR BILINEAR AVERAGES ⋮ The boundedness of variation associated with the commutators of approximate identities ⋮ Weighted estimates and compactness of variation operators

Cites Work

• The \(p\)-variation of partial sum processes and the empirical process
• Oscillation in ergodic theory: Higher dimensional results
• Oscillation and variation for the Hilbert transform
• Boundedness of sublinear operators in Hardy spaces on RD-spaces via atoms
• Strong variational and jump inequalities in harmonic analysis
• La variation d'ordre p des semi-martingales
• Oscillation in ergodic theory
• Oscillation and variation for singular integrals in higher dimensions
• Variation inequalities for the Fejér and Poisson kernels

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