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The authors investigate the global continuity on ;)
spaces with
of Fourier integral operators with smooth and rough amplitudes and/or
phase functions subject to certain necessary non-degeneracy
conditions. In this context they prove the optimal global
boundedness result for Fourier integral operators with non-degenerate
phase functions and the most general smooth Hörmander class amplitudes
i.e. those in with .
They also prove the very first results concerning the continuity of
smooth and rough Fourier integral operators on weighted spaces, with and
(i.e. the Muckenhoupt weights) for operators with rough and smooth
amplitudes and phase functions satisfying a suitable rank condition.
of Fourier integral operators with smooth and rough amplitudes and/or
phase functions subject to certain necessary non-degeneracy
conditions. In this context they prove the optimal global
boundedness result for Fourier integral operators with non-degenerate
phase functions and the most general smooth Hörmander class amplitudes
i.e. those in
They also prove the very first results concerning the continuity of
smooth and rough Fourier integral operators on weighted
(i.e. the Muckenhoupt weights) for operators with rough and smooth
amplitudes and phase functions satisfying a suitable rank condition.
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