A note on restricted X-ray transforms

DOI10.1017/S0305004108002065zbMath1180.44002arXiv0712.3477OpenAlexW3100174334MaRDI QIDQ3628721

Norberto Laghi

Publication date: 20 May 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3477

zbMATH Keywords

Lorentz space estimateX-ray transformsboundedness from \(L^q\) to \(L^p\)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Radon transform (44A12) Harmonic analysis in several variables (42B99)

Related Items (5)

Endpoint \(L^p \rightarrow L^q\) bounds for integration along certain polynomial curves ⋮ Uniform estimates for the X-ray transform restricted to polynomial curves ⋮ \(L^p\) improving multilinear Radon-like transforms ⋮ Estimates for the \(X\)-ray transform restricted to 2-manifolds ⋮ Existence of extremizers for a model convolution operator

Cites Work

• \(L^p\)-improving properties of X-ray like transforms
• Mixed norm estimates for a restricted X-ray transform.
• Fourier integral operators with cusp singularities
• On X-ray transforms for rigid line complexes and integrals over curves in $\mathbb {R}^4$

This page was built for publication: A note on restricted X-ray transforms