The aim of this Note is to present global L^p-boundedness results for Fourier integral operators in R^n. The main question is what are the decay conditions on the amplitudes for the operators to be bounded on L^p(R^n). Results under different sets of assumptions on phase functions and amplitudes are presented.
On the Boundedness of Fourier Integral Operators on L^p(R^n)
CORIASCO, Sandro;
2010-01-01
Abstract
The aim of this Note is to present global L^p-boundedness results for Fourier integral operators in R^n. The main question is what are the decay conditions on the amplitudes for the operators to be bounded on L^p(R^n). Results under different sets of assumptions on phase functions and amplitudes are presented.
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