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.
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.
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Sandro Coriasco 1; Michael Ruzhansky 2
@article{CRMATH_2010__348_15-16_847_0, author = {Sandro Coriasco and Michael Ruzhansky}, title = {On the boundedness of {Fourier} integral operators on $ {L}^{p}({\mathbb{R}}^{n})$}, journal = {Comptes Rendus. Math\'ematique}, pages = {847--851}, publisher = {Elsevier}, volume = {348}, number = {15-16}, year = {2010}, doi = {10.1016/j.crma.2010.07.025}, language = {en}, }
TY - JOUR AU - Sandro Coriasco AU - Michael Ruzhansky TI - On the boundedness of Fourier integral operators on $ {L}^{p}({\mathbb{R}}^{n})$ JO - Comptes Rendus. Mathématique PY - 2010 SP - 847 EP - 851 VL - 348 IS - 15-16 PB - Elsevier DO - 10.1016/j.crma.2010.07.025 LA - en ID - CRMATH_2010__348_15-16_847_0 ER -
Sandro Coriasco; Michael Ruzhansky. On the boundedness of Fourier integral operators on $ {L}^{p}({\mathbb{R}}^{n})$. Comptes Rendus. Mathématique, Volume 348 (2010) no. 15-16, pp. 847-851. doi : 10.1016/j.crma.2010.07.025. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.07.025/
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