Inequalities for Some Maximal Functions. II

DOI10.2307/2000578zbMath0651.42007OpenAlexW4254416550MaRDI QIDQ3796166

Giancarlo Mauceri, Michael G. Cowling

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000578

zbMATH Keywords

Fourier transforma priori estimatedecay estimatesRiesz operatorsspherical maximal functionanalytic families of measuresg- functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (19)

On a Maximal Function on Compact Lie Groups ⋮ Convolution kernels of 2D Fourier multipliers based on real analytic functions ⋮ Maximal averages over surfaces ⋮ Oscillatory integrals and maximal averages over homogeneous surfaces ⋮ Estimates for maximal functions associated with hypersurfaces in \(\mathbb R^3\) and related problems of harmonic analysis ⋮ On the boundedness of the maximal operators associated with singular hypersurfaces ⋮ Bilinear maximal functions associated with degenerate surfaces ⋮ Smooth and singular maximal averages over 2D hypersurfaces and associated Radon transforms ⋮ Maximal functions and ergodic averages related to Waring's problem ⋮ Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces ⋮ On averaging operators associated with convex hypersurfaces of finite type ⋮ Maximal functions over hypersurfaces with flat points. ⋮ Damped oscillatory integrals and maximal operators ⋮ The boundedness of maximal operators associated with singular surfaces ⋮ Fourier transforms of indicator functions, lattice point discrepancy, and the stability of integrals ⋮ Regularity of averages over hypersurfaces ⋮ Oscillatory Integrals and Fourier Transforms of Surface Carried Measures ⋮ Maximal averages over hypersurfaces and the Newton polyhedron ⋮ $L^{p}$ boundedness of maximal averages over hypersurfaces in $\mathbb {R}^{3}$

Cites Work

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• Averages of functions over hypersurfaces in \(\mathbb R^n\)
• Inequalities for Some Maximal Functions. I
• Maximal functions: Spherical means
• Problems in harmonic analysis related to curvature

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