Corpus ID: 197497434

Global L2-boundedness theorems for a class of Fourier integral operators

@article{Ruzhansky2003GlobalLT,
  title={Global L2-boundedness theorems for a class of Fourier integral operators},
  author={Michael Ruzhansky and M. Sugimoto},
  journal={arXiv: Analysis of PDEs},
  year={2003}
}
The local $L^2$-mapping property of Fourier integral operators has been established in H\"ormander \cite{H} and in Eskin \cite{E}. In this paper, we treat the global $L^2$-boundedness for a class of operators that appears naturally in many problems. As a consequence, we will improve known global results for several classes of pseudo-differential and Fourier integral operators, as well as extend previous results of Asada and Fujiwara \cite{AF} or Kumano-go \cite{Ku}. As an application, we show a… Expand
58 Citations
GLOBAL REGULARITY PROPERTIES FOR A CLASS OF FOURIER INTEGRAL OPERATORS
  • 1
  • PDF
Boundedness of Fourier Integral Operators on $\mathcal{F} L^p$ spaces
  • 38
  • PDF
On the global boundedness of Fourier integral operators
  • 28
  • Highly Influenced
  • PDF
Divergence-type Operators: Spectral Theory and Spacetime Estimates
  • 1
  • PDF
GLOBAL L-p CONTINUITY OF FOURIER INTEGRAL OPERATORS
  • 27
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 16 REFERENCES
Fourier integral operators in SG classes. I: Composition theorems and action on SG Sobolev spaces.
  • 49
  • Highly Influential
  • PDF
Fourier integral operators. I
  • 1,460
Results on weighted norm inequalities for multipliers
  • 210
  • Highly Influential
  • PDF
Best constants in some operator smoothness estimates
  • 53
  • Highly Influential
  • PDF
Regularity, Decay, and Best Constants for Dispersive Equations☆☆☆
  • 28
  • Highly Influential
  • PDF
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
  • 5,321
  • Highly Influential
...
1
2
...