Inequalities for Some Maximal Functions. I

DOI10.2307/1999654zbMath0535.42015OpenAlexW4250733149MaRDI QIDQ3319207

Giancarlo Mauceri, Michael G. Cowling

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999654

zbMATH Keywords

maximal functionsspherical maximal function

Mathematics Subject Classification ID

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

Related Items (16)

\(L^2(\mathbb{R}^n)\) boundedness for Calderón commutator with rough variable kernel ⋮ Transference of local to global \(L^{2}\) maximal estimates for dispersive partial differential equations ⋮ Variational inequalities for hypersingular integrals with variable kernels ⋮ Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations ⋮ Global range estimates for maximal oscillatory integrals with radial test functions ⋮ The asymptotic property of the hyperparabolic maximal function ⋮ Maximal functions associated with nonisotropic dilations of hypersurfaces in \(\mathbb R^3\) ⋮ Sharp bounds for the commutators with variable kernels of fractional differentiations and BMO Sobolev spaces ⋮ The boundedness for commutators of a class of maximal hypersingular integrals with variable kernels ⋮ \(L^2\) boundedness for maximal commutators with rough variable kernels ⋮ Inequalities for Some Maximal Functions. II ⋮ Nonisotropic dilations and the method of rotations with weight ⋮ \(L^p\)-improving bounds and weighted estimates for maximal functions associated with curvature ⋮ The dimension-free estimate for the truncated maximal operator ⋮ Boundedness of singular integrals of variable rough Calderón-Zygmund kernels along surfaces. ⋮ Compactness for the commutators of singular integral operators with rough variable kernels

Cites Work

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• Harmonic analysis on semigroups
• Maximal functions associated to rectangles with uniformly distributed directions
• \(H^p\) spaces of several variables
• Addenda to the Paper on a Problem of Mihlin
• On singular integrals with variable kernels
• Maximal Operators Associated to Radial Functions in L 2 (R 2 )
• Maximal functions: Spherical means
• Extensions of Hardy spaces and their use in analysis
• The Kakeya Maximal Function and the Spherical Summation Multipliers

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