On Maximal Functions Associated to Hypersurfaces and the Cauchy Problem for Strictly Hyperbolic Operators
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Publication:3799096
DOI10.2307/2000739zbMath0653.42017OpenAlexW4238751042MaRDI QIDQ3799096
Publication date: 1987
Full work available at URL: https://doi.org/10.2307/2000739
maximal functionCauchy problemsaveraging over hypersurfacesCauchy problem for hyperbolic operatorsmaximal Fourier integralspherical mean. Fourier integral operators
Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Initial value problems for second-order hyperbolic equations (35L15)
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Cites Work
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- Averages of functions over hypersurfaces in \(\mathbb R^n\)
- Asymptotic solutions of oscillatory initial value problems
- On A.E. Convergence of Solutions of Hyperbolic Equations to L p -Initial Data
- Maximal functions: Spherical means
- Problems in harmonic analysis related to curvature
- 𝐿^{𝑝} boundedness of Fourier integral operators
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