Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 20--26, 2014.

DOI10.4171/OWR/2014/34zbMath1349.00109OpenAlexW4250623638MaRDI QIDQ347215

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Publication date: 30 November 2016

Published in: Oberwolfach Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/owr/2014/34

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Collections of abstracts of lectures (00B05) Proceedings, conferences, collections, etc. pertaining to harmonic analysis on Euclidean spaces (42-06)

Cites Work

• Bounds for maximal functions associated with rotational invariant measures in high dimensions
• On the Hardy-Littlewood maximal function for the cube
• Centered Hardy--Littlewood maximal function on hyperbolic spaces
• A geometric bound for maximal functions associated to convex bodies
• Random martingales and localization of maximal inequalities
• Maximal inequality for high-dimensional cubes
• Maximal functions on the unit n-sphere
• On the \(L^ p\)-bounds for maximal functions associated to convex bodies in \({\mathbb{R}}^ n\)
• On high dimensional maximal operators
• Localization and dimension free estimates for maximal functions
• Lower bounds for the weak type \((1, 1)\) estimate for the maximal function associated to cubes in high dimensions
• The development of square functions in the work of A. Zygmund
• An almost-orthogonality principle with applications to maximal functions associated to convex bodies
• On High Dimensional Maximal Functions Associated to Convex Bodies
• Transference for Radial Multipliers and Dimension Free Estimates

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