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On the functions of Littlewood-Paley and Marcinkiewicz

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Publication:1058693
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DOI10.2748/tmj/1178228759zbMath0565.42007OpenAlexW2025774794MaRDI QIDQ1058693

Gen-Ichiro Sunouchi

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228759


zbMATH Keywords

comparison theoremsMarcinkiewicz functionPaley-Littlewood function


Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)


Related Items (4)

Littlewood-Paley operators and Sobolev spaces ⋮ Littlewood-Paley equivalence and homogeneous Fourier multipliers ⋮ \(L^p\)-boundedness of Stein's square functions associated with Fourier-Bessel expansions ⋮ On the Littlewood-Paley and Marcinkiewicz functions in higher dimensions



Cites Work

  • Unnamed Item
  • On functions regular in a half-plane
  • Inequalities for strongly singular convolution operators
  • On the Poisson summability of Fourier series
  • On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
  • On the Absolute Summability of a Fourier Series and its Conjugate Series
  • Problems in harmonic analysis related to curvature
  • The characterization of functions arising as potentials
  • On Certain Integrals


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