Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator

DOI10.4171/rmi/1050zbMath1418.42027arXiv1703.08327OpenAlexW2604883500WikidataQ128638804 ScholiaQ128638804MaRDI QIDQ1733572

Luc Deleaval, Christoph Kriegler

Publication date: 21 March 2019

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08327

zbMATH Keywords

Hardy-Littlewood maximal operatorGrushin operatorvector-valued estimatesdimension free boundsUMD Banach lattice

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis on homogeneous spaces (43A85) Banach lattices (46B42)

Related Items

Sparse domination implies vector-valued sparse domination ⋮ A dimension-free estimate on \(L^2\) for the maximal Riesz transform in terms of the Riesz transform ⋮ Bilinear Bochner-Riesz square function and applications ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ A note on the behavior of the Dunkl maximal operator ⋮ Dimension-free estimates for the vector-valued variational operators ⋮ Maximal estimates for bilinear Bochner-Riesz means ⋮ Variation and oscillation for harmonic operators in the inverse Gaussian setting ⋮ On the bilinear Bochner-Riesz problem at critical index

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