Generalizations of Riesz potentials and \(L^ p\) estimates for certain k- plane transforms
From MaRDI portal
Publication:801505
zbMath0552.43005MaRDI QIDQ801505
Publication date: 1984
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Radon transforminvariant measureGrassmannianRiesz potentialsaffine subspaces of \({\mathbb{R}}^ n\)analytic family of operatorsspace of Schwartz test functions
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis in several variables (42B99)
Related Items (14)
Linear operators, Fourier integral operators and \(k\)-plane transforms on rearrangement-invariant quasi-Banach function spaces ⋮ Some conjectures aboutLp norms of k-plane transforms ⋮ Sharp \(L^p\)-\(L^q\) estimates for generalized \(k\)-plane transforms ⋮ Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations ⋮ Sharp $L^p\rightarrow L^r$ estimates for $k$-plane transforms in finite fields ⋮ Norm estimates for \(k\)-plane transforms and geometric inequalities ⋮ On continuum incidence problems related to harmonic analysis. ⋮ Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms ⋮ A sharp 𝑘-plane Strichartz inequality for the Schrödinger equation ⋮ Bounding marginal densities via affine isoperimetry ⋮ Sharp endpoint estimates for the $X$-ray transform and the Radon transform in finite fields ⋮ A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury's identity ⋮ 𝐿^{𝑝}-𝐿^{𝑝’} estimates for overdetermined Radon transforms ⋮ Quantitative form of certain \(k\)-plane transform inequalities
This page was built for publication: Generalizations of Riesz potentials and \(L^ p\) estimates for certain k- plane transforms
