On Maximal Functions Associated to Hypersurfaces and the Cauchy Problem for Strictly Hyperbolic Operators

DOI10.2307/2000739zbMath0653.42017OpenAlexW4238751042MaRDI QIDQ3799096

Christopher D. Sogge

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000739

zbMATH Keywords

maximal functionCauchy problemsaveraging over hypersurfacesCauchy problem for hyperbolic operatorsmaximal Fourier integralspherical mean. Fourier integral operators

Mathematics Subject Classification ID

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)

Related Items (2)

Averages over hypersurfaces. II ⋮ Regularity of averages over hypersurfaces

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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