Distribution function estimates for Marcinkiewicz integrals and differentiability

DOI10.1215/S0012-7094-82-04930-4zbMath0599.42010OpenAlexW1507643165MaRDI QIDQ1080105

Sagun Chanillo, Richard L. Wheeden

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-82-04930-4

zbMATH Keywords

Marcinkiewicz integralHardy-Littlewood maximal function

Mathematics Subject Classification ID

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

Related Items (3)

Weighted norm inequalities involving gradients ⋮ Marcinkiewicz integrals with rough homogeneous kernels of degree zero in product domains ⋮ Inequalities for Peano maximal functions and Marcinkiewicz integrals

Cites Work

• Inequalities for strongly singular convolution operators
• On an Integral of Marcinkiewicz
• Maximal functions measuring smoothness
• The characterization of functions arising as potentials
• On the Fractional Differentiability of Functions
• Distribution function inequalities for the area integral
• Estimates for singular integral operators in terms of maximal functions
• A Maximal Function Characterization of the Class H p
• On the differentiability of functions
• Fractional Integration
• A theorem on generalized derivatives
• On Certain Integrals
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