Open AccessOn the boundedness of certain bilinear oscillatory integral operators
Author(s) -
Salvador Rodríguez-López,
David Rule,
Wolfgang Staubach
Publication year - 2015
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-2015-06244-8
Subject(s) - algorithm , bilinear interpolation , mathematics , computer science , statistics
We prove the global L2xL2 ->L1boundedness of bilinear oscillatory integral operators with amplitudes satisfying a Hörmander type condition and phases satisfying appropriate growth as well as the strong non-degeneracy conditions. This is anextension of the corresponding result of R. Coifman and Y. Meyer for bilinear pseudo-dierential operators, to the case of oscillatory integral operators