Global boundedness of a class of multilinear Fourier integral operators
We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local Hardy space, the local BMO and the $L^2$ spaces.
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| Veröffentlicht in: | Forum of mathematics. Sigma 2021, Vol.9, Article e14 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of
$L^p$
spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local Hardy space, the local BMO and the
$L^2$
spaces. |
|---|---|
| ISSN: | 2050-5094 2050-5094 |
| DOI: | 10.1017/fms.2021.13 |