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A variant of Hall's lemma and maximal functions on the unit n-sphere

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Publication:1084555
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DOI10.1007/BF02384392zbMath0606.31003WikidataQ124795888 ScholiaQ124795888MaRDI QIDQ1084555

Peter M. Knopf

Publication date: 1986

Published in: Arkiv för Matematik (Search for Journal in Brave)


zbMATH Keywords

Dirichlet problemcharacteristic functionharmonic functionharmonic measurePoisson kernelradial projectionHardy-Littlewood maximal functionHall's lemmasubharmonic barrier function


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)


Related Items (1)

The λ-cosine transforms with odd kernel and the hemispherical transform




Cites Work

  • Behavior of maximal functions in \(R^ n\) for large n
  • Projection theorems for hitting probabilities and a theorem of Littlewood
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