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Comptes Rendus Mathématique
Volume 348, n° 15-16
pages 847-851 (août 2010)
Doi : 10.1016/j.crma.2010.07.025
Received : 29 Mars 2010 ;  accepted : 26 July 2010
On the boundedness of Fourier integral operators on  
Sur la continuité des opérateurs intégraux de Fourier sur  
 

Sandro Coriasco a , Michael Ruzhansky b
a Dipartimento di Matematica, Università di Torino, V. C. Alberto, n. 10, Torino, Italy 
b Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom 

Abstract

The aim of this Note is to present global   boundedness results for Fourier integral operators in  . The main question is what are the decay conditions on the amplitudes for the operators to be bounded on  . Results under different sets of assumptions on phase functions and amplitudes are presented.

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Résumé

Dans cette Note nous présentons des estimations globales pour les opérateurs intégraux de Fourier dans les espaces  . Les questions d'intérêt sont les conditions des décroissance pour les amplitudes. Les résultats sont présentés sous des conditions différentes sur la fonction de phase et l'amplitude.

The full text of this article is available in PDF format.


© 2010  Published by Elsevier Masson SAS de la part de Académie des sciences.
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