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Lee, Sanghyuk; Seeger, Andreas

Lebesgue space estimates for a class of Fourier integral operators associated with wave propagation. (English) Zbl 1269.42008

Math. Nachr. 286, No. 7, 743-755 (2013).
Summary: We prove \(L^{q}\) estimates related to C. D. Sogge’s conjecture for a class of Fourier integral operators associated with wave equations.

Cited in 8 Documents

MSC:

42B15 Multipliers for harmonic analysis in several variables
42B37 Harmonic analysis and PDEs
35S30 Fourier integral operators applied to PDEs

Keywords:

space-times estimate; wave equation on compact manifolds; cinematic curvature; Fourier integral operator
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References:

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