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Global L-p continuity of Fourier integral operators

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Abstract
In this paper we establish global L-p(R-n)-regularity properties of Fourier integral operators. The orders of decay of the amplitude are determined for operators to be bounded on L-p(R-n), 1 < p < infinity, as well as to be bounded from Hardy space H-1(R-n) to L-1(R-n). This extends local L-p-regularity properties of Fourier integral operators, as well as results of global L-2(R-n) boundedness, to the global setting of L-p(R-n). Global boundedness in weighted Sobolev spaces W-s(sigma,p) (R-n) is also established, and applications to hyperbolic partial differential equations are given.
Keywords
Fourier integral operators, global L-p(R-n) boundedness, PSEUDODIFFERENTIAL-OPERATORS, HYPERBOLIC-EQUATIONS, BOUNDEDNESS

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MLA
Coriasco, Sandro, and Michael Ruzhansky. “Global L-p Continuity of Fourier Integral Operators.” TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 366.5 (2014): 2575–2596. Print.
APA
Coriasco, S., & Ruzhansky, M. (2014). Global L-p continuity of Fourier integral operators. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 366(5), 2575–2596.
Chicago author-date
Coriasco, Sandro, and Michael Ruzhansky. 2014. “Global L-p Continuity of Fourier Integral Operators.” Transactions of the American Mathematical Society 366 (5): 2575–2596.
Chicago author-date (all authors)
Coriasco, Sandro, and Michael Ruzhansky. 2014. “Global L-p Continuity of Fourier Integral Operators.” Transactions of the American Mathematical Society 366 (5): 2575–2596.
Vancouver
1.
Coriasco S, Ruzhansky M. Global L-p continuity of Fourier integral operators. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2014;366(5):2575–96.
IEEE
[1]
S. Coriasco and M. Ruzhansky, “Global L-p continuity of Fourier integral operators,” TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 366, no. 5, pp. 2575–2596, 2014.
@article{8585179,
  abstract     = {In this paper we establish global L-p(R-n)-regularity properties of Fourier integral operators. The orders of decay of the amplitude are determined for operators to be bounded on L-p(R-n), 1 < p < infinity, as well as to be bounded from Hardy space H-1(R-n) to L-1(R-n). This extends local L-p-regularity properties of Fourier integral operators, as well as results of global L-2(R-n) boundedness, to the global setting of L-p(R-n). Global boundedness in weighted Sobolev spaces W-s(sigma,p) (R-n) is also established, and applications to hyperbolic partial differential equations are given.},
  author       = {Coriasco, Sandro and Ruzhansky, Michael},
  issn         = {0002-9947},
  journal      = {TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY},
  keywords     = {Fourier integral operators,global L-p(R-n) boundedness,PSEUDODIFFERENTIAL-OPERATORS,HYPERBOLIC-EQUATIONS,BOUNDEDNESS},
  language     = {eng},
  number       = {5},
  pages        = {2575--2596},
  title        = {Global L-p continuity of Fourier integral operators},
  url          = {http://dx.doi.org/10.1090/s0002-9947-2014-05911-4},
  volume       = {366},
  year         = {2014},
}

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