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A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators
Uppsala University, Sweden.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-8976-8299
Uppsala University, Sweden.
2014 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 264, 1-54 p.Article in journal (Refereed) Published
Abstract [en]

We establish the regularity of bilinear Fourier integral operators with bilinear amplitudes in

and non-degenerate phase functions, from Lp×Lq→Lr under the assumptions that

 and . This is a bilinear version of the classical theorem  of Seeger–Sogge–Stein concerning the Lp boundedness of linear Fourier integral operators. Moreover, our result goes beyond the aforementioned theorem in that it also includes the case of quasi-Banach target spaces.

Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 264, 1-54 p.
Keyword [en]
Bilinear Fourier integral operators, Frequency space localization
National Category
Natural Sciences
URN: urn:nbn:se:liu:diva-108466DOI: 10.1016/j.aim.2014.07.009ISI: 000341615100001ScopusID: 2-s2.0-84904650922OAI: diva2:730455
Available from: 2014-06-27 Created: 2014-06-27 Last updated: 2015-06-01Bibliographically approved

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