Multiparameter Maximal Functions Along Dilation-Invariant Hypersurfaces

DOI10.2307/2000183zbMath0578.42018OpenAlexW4251845764MaRDI QIDQ3700237

Jan-Olov Strömberg, Peter Sjögren, Hasse Carlsson

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000183

zbMATH Keywords

boundednessmaximal function operatorquadratic surfacedilation-invariant hypersurfaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (10)

Maximal functions along surfaces in product spaces ⋮ Estimates for maximal functions along hypersurfaces ⋮ Two-parameter maximal functions in the Heisenberg group ⋮ Unnamed Item ⋮ On singular integrals and maximal operators along surfaces of revolution on product domains ⋮ Boundary behavior of generalized Poisson integrals on buildings of type \(\widetilde{A}_2\) ⋮ Multiparameter singular integrals and maximal functions ⋮ The Strong Maximal Function on a Nilpotent Group ⋮ Regularity of averages over hypersurfaces ⋮ Multiple singular integrals and maximal functions along hypersurfaces

Cites Work

• On certain maximal functions and approach regions
• \(L^ p\)-boundedness of the multiple Hilbert transform along a surface
• Singular integrals supported on submanifolds
• L 2 Boundedness of Hilbert Transforms Along Surfaces and Convolution Operators Homogeneous with Respect to a Multiple Parameter Group
• Differentiation in lacunary directions
• Problems in harmonic analysis related to curvature
• Fatou theorems and maximal functions for eigenfunctions of the Laplace-Beltrami operator in a bidisk.
• Fourier transforms of surface-carried measures and differentiability of surface averages
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• Unnamed Item

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