Directional maximal operators with smooth densities

DOI10.1002/mana.200610830zbMath1184.42016OpenAlexW2042949782MaRDI QIDQ3655598

Kathryn E. Hare, M. M. Roginskaya

Publication date: 8 January 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610830

zbMATH Keywords

directional maximal operatorlacunary setpolynomial density

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

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• Littlewood-Paley decompositions and Fourier multipliers with singularities on certain sets
• Maximal functions and Hilbert transforms associated to polynomials
• Maximal functions and singular integrals associated to polynomial mappings of \(\mathbb R^ n\).
• On differentiation of integrals
• Differentiation in lacunary directions
• Maximal functions with polynomial densities in lacunary directions

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