Maximal functions and the additivity of various families of null sets

DOI10.1090/S0002-9947-2012-05402-XzbMath1291.03091OpenAlexW2102177662MaRDI QIDQ2839944

Juris Steprāns

Publication date: 17 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05402-x

zbMATH Keywords

maximal operatorBesicovitch setKakeya setcardinal invariantproper forcing

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Cardinal characteristics of the continuum (03E17)

Cites Work

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• Averages in the plane over convex curves and maximal operators
• Comparing the uniformity invariants of null sets for different measures
• L p regularity of averages over curves and bounds for associated maximal operators
• Packing Circles in the Plane
• Continuity properties of k-plane integrals and Besicovitch sets
• Maximal functions: Spherical means
• Packing planes in ℝ ³
• Norms on possibilities. I. Forcing with trees and creatures

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