𝐿^{𝑝}-𝐿^{𝑝’} estimates for overdetermined Radon transforms

DOI10.1090/S0002-9947-07-03953-0zbMath1171.42002arXivmath/0312307OpenAlexW1508989198WikidataQ125889218 ScholiaQ125889218MaRDI QIDQ3425946

Allan Greenleaf, Giancarlo Travaglini, Luca Brandolini

Publication date: 7 March 2007

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

Full work available at URL: https://arxiv.org/abs/math/0312307

zbMATH Keywords

Radon transform\(L^{p}\) improvingaverages over curves

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Radon transform (44A12)

Related Items (6)

Sharp \(L^p\)-\(L^q\) estimates for generalized \(k\)-plane transforms ⋮ Average decay estimates for Fourier transforms of measures supported on curves ⋮ DISCREPANCY OF A CONVEX SET WITH ZERO CURVATURE AT ONE POINT ⋮ L p Mixed-norm estimates for convolution operator defined by singular measures ⋮ Discrepancy for convex bodies with isolated flat points ⋮ Support theorems on \(\mathbb R^n\) and non-compact symmetric spaces

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