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Boundedness of Littlewood-Paley operators in generalized Orlicz-Campanato spaces

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Publication:990324
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DOI10.1216/RMJ-2010-40-4-1355zbMath1196.42021MaRDI QIDQ990324

Xiang Xing Tao, Song Yan Zhang

Publication date: 7 September 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Littlewood-Paley \(g\)-functionLusin area integralOrilicz-Campanato space


Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)


Related Items (2)

Bmo boundedness for banach space valued singular integrals ⋮ Applications of Littlewood-Paley theory for \(\dot{B}_\sigma\)-Morrey spaces to the boundedness of integral operators



Cites Work

  • Boundedness of the Littlewood-Paley g-function on \(Lip_{\alpha}(R^ n)\) \((0<\alpha <1)\)
  • Characterization of maximal operators in Orlicz-Morrey spaces of homogeneous type
  • Integral inequalities with weights for the Hardy maximal function
  • Littlewood-Paley Operators on BMO
  • On the existence and boundedness of square function operators on Campanato spaces
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