We prove optimal regularity in L^2 for a special class of Fourier integral operators with k folds singularities. We give also a new proof of the classical result for simple folds due to Melrose and Taylor
$L^2$ estimates for averaging operators along curves with two sided k fold singularities / Cuccagna, Scipio. - In: DUKE MATHEMATICAL JOURNAL. - ISSN 0012-7094. - STAMPA. - 89:(1997), pp. 203-216.
$L^2$ estimates for averaging operators along curves with two sided k fold singularities
CUCCAGNA, Scipio
1997
Abstract
We prove optimal regularity in L^2 for a special class of Fourier integral operators with k folds singularities. We give also a new proof of the classical result for simple folds due to Melrose and Taylor
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