On dimension-free variational inequalities for averaging operators in \({\mathbb{R}^d}\)

DOI10.1007/s00039-018-0433-3zbMath1402.42023arXiv1708.04639OpenAlexW2963562217WikidataQ101086055 ScholiaQ101086055MaRDI QIDQ1746609

Błażej Wróbel, Jean Bourgain, Mariusz Mirek

Publication date: 25 April 2018

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04639

zbMATH Keywords

variational inequalitiesmaximal functionaveraging operatorsymmetric convex body

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Maximal functions, Littlewood-Paley theory (42B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (14)

Mean oscillation bounds on rearrangements ⋮ Weighted variation inequalities for singular integrals and commutators in rearrangement invariant Banach and quasi-Banach spaces ⋮ Quantitative weighted bounds for the \(q\)-variation of singular integrals with rough kernels ⋮ The \(L^2\)-boundedness of the variational Calderón-Zygmund operators ⋮ On Discrete Hardy–Littlewood Maximal Functions over the Balls in $${\boldsymbol {\mathbb {Z}^d}}$$ : Dimension-Free Estimates ⋮ Variation of Calderón–Zygmund operators with matrix weight ⋮ A variational restriction theorem ⋮ Jump inequalities via real interpolation ⋮ Weighted variation inequalities for singular integrals and commutators ⋮ A bootstrapping approach to jump inequalities and their applications ⋮ Dimension-free estimates for the vector-valued variational operators ⋮ The boundedness of variation associated with the commutators of approximate identities ⋮ Sparse domination and weighted inequalities for the \(\rho\)-variation of singular integrals and commutators ⋮ On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective

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