Direct Download Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces

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Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
David Dos Santos Ferreira, Wolfgang Staubach, "Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces"
2014 | ISBN-10: 0821891197 | 65 pages | PDF | 0,7 MB

The authors investigate the global continuity on L p spaces with p∈[1,∞] 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 L 2 boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hörmander class amplitudes i.e. those in S m ϱ,δ with ϱ,δ∈[0,1] . They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted L p spaces, L p w with 1
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