Weighted estimates for the \(k\)-plane transform of radial functions on Euclidean spaces

DOI10.1007/s11856-011-0091-8zbMath1267.44001OpenAlexW2078627166MaRDI QIDQ1760323

Ashisha Kumar, Swagato K. Ray

Publication date: 13 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0091-8

zbMATH Keywords

Radon transformnorm inequalities\(k\)-plane transformGrassmannian manifoldweighted \(L^p\) spaces

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Radon transform (44A12)

Related Items (2)

Weighted norm inequalities for $k$-plane transforms ⋮ End point estimates for Radon transform of radial functions on non-Euclidean spaces

Cites Work

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• One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions
• Null spaces and ranges for the classical and spherical Radon transforms
• A mixed norm estimate for the \(X\)-ray transform
• The Radon transform.
• Weighted Fourier inequalities: New proofs and generalizations.
• Reconstruction of functions from their integrals over \(k\)-planes
• Analytic Tomography
• An Endpoint Estimate for Certain k-Plane Transforms
• Pitt's inequality with sharp convolution estimates
• L p Estimates for Integral Transforms
• On L p Estimates for Integral Transforms
• Remarks on weak type inequalities for operators commuting with translations
• Mixed norm inequalities for directional operators associated to potentials
• \(k\)-plane transforms and related operators on radial functions

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