Norm estimates for the Kakeya maximal function in high dimensions with respect to general measures

DOI10.14321/realanalexch.48.2.1671696175zbMath1529.42018MaRDI QIDQ6183682

Unnamed Author

Publication date: 4 January 2024

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/real-analysis-exchange/volume-48/issue-2/Norm-Estimates-for-the-Kakeya-Maximal-Function-in-High-Dimensions/10.14321/realanalexch.48.2.1671696175.full

zbMATH Keywords

Hausdorff dimensionKakeya maximal functionKakeya set

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Arithmetic progressions (11B25) Hausdorff and packing measures (28A78)

Cites Work

• Norm estimates for the Kakeya maximal function with respect to general measures.
• On the dimension of Kakeya sets and related maximal inequalities
• An improved bound on the Minkowski dimension of Besicovitch sets in \(\mathbb{R}^3\)
• Dimension estimates for Kakeya sets defined in an axiomatic setting
• Integer Sets Containing No Arithmetic Progressions
• Fourier Analysis and Hausdorff Dimension
• Unnamed Item

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