Averages over hypersurfaces. II

DOI10.1007/BF01389070zbMath0656.42012OpenAlexW1986392575MaRDI QIDQ1110028

Christopher D. Sogge, Elias M. Stein

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143394

zbMATH Keywords

maximal operatorGaussian curvatureparameter family of surfaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (14)

\(L^{2}\)-estimates for singular oscillatory integral operators ⋮ On a Maximal Function on Compact Lie Groups ⋮ Damped oscillatory integral operators with analytic phases ⋮ On some properties of sparse sets: a survey ⋮ Averages over hypersurfaces. Smoothness of generalized Radon transforms ⋮ Sharp Regularizing Estimates for the Gain Term of the Boltzmann Collision Operator ⋮ Pointwise ergodic theorems for radial averages on simple Lie groups. II ⋮ A maximal Fourier integral operator and an application ⋮ Maximal operators and differentiation theorems for sparse sets ⋮ Regularity theory for the spatially homogeneous Boltzmann equation with cut-off ⋮ Singular Radon transforms and oscillatory integrals ⋮ Regularity of averages over hypersurfaces ⋮ Degenerate Fourier integral operators in the plane ⋮ \(L^ p\) regularity for the wave equation with strictly convex obstacles

Cites Work

• Averages of functions over hypersurfaces in \(\mathbb R^n\)
• Oscillatory integrals and multipliers on FL\(^p\)
• On Maximal Functions Associated to Hypersurfaces and the Cauchy Problem for Strictly Hyperbolic Operators
• Maximal functions: Spherical means
• Problems in harmonic analysis related to curvature
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