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On Kolmogorov's theorem, the Hardy-Littlewood maximal function and the radial maximal function

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Publication:1111105
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DOI10.1007/BF02796124zbMath0658.42020MaRDI QIDQ1111105

Boris Korenblum, Joaquim Bruna

Publication date: 1988

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)


zbMATH Keywords

conjugate functionHardy-Littlewood maximal functionradial maximal functionCalderón-Zygmund singular convolution operatorweak maximal function


Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)


Related Items

An Example of a Hilbert Transform ⋮ On peak sets for Lip \(\alpha\) classes ⋮ A note on Calderón-Zygmund singular integral convolution operators ⋮ Iterations of Hardy-Littlewood Maximal Functions



Cites Work

  • Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
  • Counterexamples to two variants of the Helson-Szegö theorem.
  • On peak sets for Lip \(\alpha\) classes
  • Another Characterization of BMO
  • A note on Calderón-Zygmund singular integral convolution operators
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