Nikodym maximal functions associated with variable planes in \(\mathbb{R}^{3}\)

DOI10.1007/s00020-012-1985-5zbMath1261.42018OpenAlexW2078311571MaRDI QIDQ1944855

Joonil Kim

Publication date: 28 March 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-1985-5

zbMATH Keywords

maximal operatorplane

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (1)

A note on Kakeya sets of horizontal and SL(2)$SL(2)$ lines

Cites Work

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• Two versions of the Nikodym maximal function on the Heisenberg group
• Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
• Besicovitch type maximal operators and applications to Fourier analysis
• An improved bound for Kakeya type maximal functions
• Fourier integral operators. I
• The Kakeya Maximal Function and the Spherical Summation Multipliers
• Concerning Nikodym-type sets in 3-dimensional curved spaces
• Fourier integral operators with fold singularities.

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