Estimates for the X-ray transform restricted to 2-manifolds

Estimates for the X-ray transform restricted to 2-manifolds

We prove almost sharp mixed-norm estimates for the X-ray transform restricted to lines whose directions lie on certain well-curved two dimensional manifolds.

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Veröffentlicht in:Revista matemática iberoamericana 2010-01, Vol.26 (1), p.91-114
Hauptverfasser: Erdoğan, M. Burak, Oberlin, Richard
Format: Artikel
Sprache:eng
Schlagworte:
42B25
Fourier analysis
mixed-norm
Radon
transform
X-ray
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Beschreibung
Zusammenfassung:We prove almost sharp mixed-norm estimates for the X-ray transform restricted to lines whose directions lie on certain well-curved two dimensional manifolds.
ISSN:0213-2230
2235-0616
DOI:10.4171/RMI/595