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

David Dos Santos Ferreira, Wolfgang Staubach (Autoren)

Buch | Softcover

65 Seiten

2014
American Mathematical Society (Verlag)
978-0-8218-9119-3 (ISBN)

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Investigates the global continuity on L p spaces with p[1,8] 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.

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

David Dos Santos Ferreira, Universite Paris 13, Villetaneuse, France. Wolfgang Staubach, Uppsala University, Sweden.

Prolegomena
Global boundedness of Fourier integral operators
Global and local weighted L p boundedness of Fourier integral operators
Applications in harmonic analysis and partial differential equations
Bibliography

Erscheint lt. Verlag	22.9.2014
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-8218-9119-7 / 0821891197
ISBN-13	978-0-8218-9119-3 / 9780821891193
Zustand	Neuware