Distribution function estimates for Marcinkiewicz integrals and differentiability
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Publication:1080105
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
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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