A class of generalized integral operators

In this paper, we introduce a class of generalized integral operators that includes Fourier integral operators. We establish some conditions on these operators such that they do not have bounded extension on $L^{2}(mathbb{R}^{n})$. This permit us in particular to construct a class of Fourier in...

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Bibliographic Details
Main Authors: Samir Bekkara, Bekkai Messirdi, Abderrahmane Senoussaoui
Format: Article
Language:English
Published: Texas State University 2009-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/88/abstr.html