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Decomposition theorem and lacunary convergence of Riesz-Bochner means of Fourier transforms of two variables

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Publication:1155818
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DOI10.2748/tmj/1178229404zbMath0467.42017OpenAlexW2105019643MaRDI QIDQ1155818

Satoru Igari

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2748/tmj/1178229404


zbMATH Keywords

Littlewood-Paley theorydecomposition theorema.e. lacunary convergence


Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)


Related Items (3)

Conjectures and problems on Bochner-Riesz means ⋮ Boundedness of some operators composed of Fourier multipliers ⋮ The boundedness of the maximal Bochner-Riesz operator on \(L^ 4\)(\(R^ 2\))



Cites Work

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  • Estimates for translation invariant operators in \(L^p\) spaces
  • A note on Bochner-Riesz operators
  • The multiplier problem for the ball
  • Oscillatory integrals and multiplier problem for the disc
  • Some Maximal Inequalities
  • Estimates for double Hilbert transform


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