Work

$L^p - L^{p'}$ estimates for overdetermined Radon transforms

Year: 2003

Type: preprint

Abstract: We prove several variations on the results of Ricci and Travaglini concerning bounds for convolution with all rotations of a measure supported by a fixed convex curve in the plane. Estimates are obtained for averages over higher-dimensional convex hypersurfaces, smooth k-dimensional surfaces and non-translation invariant families of surfaces.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0312307

Authors: Brandolini, Luca, Greenleaf, Allan, Travaglini, Giancarlo

Institutions: University of Bergamo, University of Rochester, University of Milano-Bicocca

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952193339

Cites: 16

Cited by: 3

Related to: 10