Regularity of averages over hypersurfaces

DOI10.1007/BF02386371zbMath0722.42008OpenAlexW2062283544MaRDI QIDQ756065

Lennart Börjeson

Publication date: 1989

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02386371

zbMATH Keywords

averagesmultiparameter maximal functionssmooth compact hypersurfaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Averages of functions over hypersurfaces in \(\mathbb R^n\)
• Averages in the plane over convex curves and maximal operators
• The spaces \(L^ p\), with mixed norm
• Regularity and integrability of spherical means
• Norm inequalities for spherical means
• Maximal functions and Fourier transforms
• Estimates for maximal functions along hypersurfaces
• Averages over hypersurfaces. II
• Regularity of spherical means
• Mixed Norm Estimates for Certain Means
• Multiparameter Maximal Functions Along Dilation-Invariant Hypersurfaces
• Inequalities for Some Maximal Functions. II
• 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
• Fourier transforms of surface-carried measures and differentiability of surface averages

This page was built for publication: Regularity of averages over hypersurfaces