Differentiation of Besov spaces and the Nikodym maximal operator

DOI10.1090/PROC/13396zbMath1361.42019OpenAlexW2564108395MaRDI QIDQ2964045

Jason Murcko

Publication date: 22 February 2017

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

Full work available at URL: https://doi.org/10.1090/proc/13396

zbMATH Keywords

Besov spaceLebesgue differentiation theoremNikodym maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (1)

Bordering functions for differential bases

Cites Work

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• Rectangular differentiation of integrals of Besov functions.
• Bessel capacities and rectangular differentiation in Besov spaces
• Theory of function spaces
• Besicovitch type maximal operators and applications to Fourier analysis
• An improved bound for Kakeya type maximal functions
• The Bochner-Riesz conjecture implies the restriction conjecture
• Pointwise Differentiability and Absolute Continuity
• The Kakeya Maximal Function and the Spherical Summation Multipliers
• Differentiation in lacunary directions
• Differentiation of integrals by bases without the density property
• On differentiation of integrals with respect to bases of convex sets.

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