Global and local regularity of Fourier integral operators on weighted and unweighted spaces
Author(s)
Bibliographic Information
Global and local regularity of Fourier integral operators on weighted and unweighted spaces
（Memoirs of the American Mathematical Society, no. 1074）
American Mathematical Society, c2013
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Note
Includes bibliographical references (p. 63-65)
"Volume 229, number 1074 (first of 5 numbers), May 2014"
Description and Table of Contents
Description
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
Table of Contents
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
by "Nielsen BookData"