On X-ray transforms for rigid line complexes and integrals over curves in $\mathbb {R}^4$
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Publication:4268910
DOI10.1090/S0002-9939-99-05379-4zbMath0934.44003OpenAlexW1492290790MaRDI QIDQ4268910
Andreas Seeger, Stephen Wainger, Allan Greenleaf
Publication date: 28 October 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05379-4
Radon transformintegrals over curvesrestricted \(X\)-ray transformsrigid line complexessingular fractional integral operators
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Elements of functional calculus and \(L^2\) regularity for some classes of Fourier integral operators ⋮ Bounds for singular fractional integrals and related Fourier integral operators ⋮ 𝐿^{𝑝} improving bounds for averages along curves ⋮ Average decay estimates for Fourier transforms of measures supported on curves ⋮ Uniform \(L_x^p - L_{x, r}^q\) improving for dilated averages over polynomial curves ⋮ Uniform sublevel Radon-like inequalities ⋮ Multi-parameter singular Radon transforms. II: The \(L^p\) theory ⋮ Mixed norm estimates for certain generalized Radon transforms ⋮ Maximal operators and differentiation theorems for sparse sets ⋮ Uniform bounds for convolution and restricted X-ray transforms along degenerate curves ⋮ A note on restricted X-ray transforms ⋮ Mixed norm estimates for a restricted X-ray transform. ⋮ Generalized curvature for certain Radon-like operators of intermediate dimension ⋮ Discrete analogues in harmonic analysis. II: Fractional integration ⋮ 𝐿^{𝑝}-𝐿^{𝑝’} estimates for overdetermined Radon transforms ⋮ A method for proving \(L^p\)-boundedness of singular Radon transforms in codimension 1
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