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

Ferreira, David Dos Santos; Staubach, Wolfgang

 
9780821891193: Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
Brossura
ISBN 10: 0821891197 ISBN 13: 9780821891193
Casa editrice: Amer Mathematical Society, 2014

Sinossi

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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Editore
Amer Mathematical Society
Data di pubblicazione
2014
Lingua
Inglese
ISBN 10 
0821891197
ISBN 13 
9780821891193
Rilegatura
Copertina flessibile
Numero di pagine
65
Contatto del produttore
non disponibile
Persona responsabile
non disponibile