Inequalities for Peano maximal functions and Marcinkiewicz integrals

DOI10.1215/S0012-7094-83-05027-5zbMath0536.42020OpenAlexW1490046506MaRDI QIDQ791799

Sagun Chanillo, Richard L. Wheeden

Publication date: 1983

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-83-05027-5

zbMATH Keywords

weighted inequalitiesMarcinkiewicz integralsPoisson integralsHp spacesPeano maximal functions

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (8)

Rough Marcinkiewicz integrals with mixed homogeneity on product spaces ⋮ A Note on a Maximal Function of C. Fefferman and Stein ⋮ A rough multiple Marcinkiewicz integral along continuous surfaces ⋮ Weighted norm inequalities involving gradients ⋮ On rough Marcinkiewicz integrals along surfaces ⋮ Marcinkiewicz integrals with rough homogeneous kernels of degree zero in product domains ⋮ Weak type \((H^1,L^1)\) estimate for commutator of Marcinkiewicz integral ⋮ Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity

Cites Work

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• Distribution function estimates for Marcinkiewicz integrals and differentiability
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• \(H^p\) spaces of several variables
• Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series
• A Note on a Maximal Function of C. Fefferman and Stein
• An inequality for measures on a half-space.
• Weighted norm inequalities for parabolic fractional integrals
• Weighted Norm Inequalities for Fractional Integrals
• On higher gradients of harmonic functions
• Distribution function inequalities for the area integral
• Estimates for singular integral operators in terms of maximal functions
• Weighted Norm Inequalities for the Hardy Maximal Function

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