Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
Ferreira, David Dos Santos, Staubach, Wolfgang
The authors investigate 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 Hormander class amplitudes i.e. those in S m ,d with ,d?[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
Kategorije:
Godina:
2014
Izdavač:
American Mathematical Society
Jezik:
english
Strane:
65
ISBN 10:
0821891197
ISBN 13:
9780821891193
Serije:
Memoirs of the American Mathematical Society no. 1074
Fajl:
PDF, 652 KB
IPFS:
,
english, 2014