\(k\)-plane transforms and related operators on radial functions

DOI10.1307/mmj/1008719773zbMath1015.42009OpenAlexW2038946197MaRDI QIDQ5954598

Virginia Naibo, Osane Oruetxebarria, Javier Duoandikoetxea

Publication date: 4 February 2002

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1008719773

zbMATH Keywords

Kakeya maximal functionRadon transformsmaximal functionsfractional integralX-ray transformradial functions

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Radon transform (44A12)

Related Items (6)

Weighted norm inequalities for $k$-plane transforms ⋮ Mixed norm estimate for Radon transform on weighted \(L^p\) spaces ⋮ MIXED NORM ESTIMATES FOR POTENTIAL OPERATORS RELATED TO THE RADON TRANSFORM ⋮ End point estimates for Radon transform of radial functions on non-Euclidean spaces ⋮ The spherical maximal operator on radial functions ⋮ Weighted estimates for the \(k\)-plane transform of radial functions on Euclidean spaces

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