数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 1255-1261.doi: 10.1016/S0252-9602(12)60097-6

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LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS

陈泽乾1|尹智1,2   

  1. 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2011-03-20 出版日期:2012-05-20 发布日期:2012-05-20
  • 基金资助:

    This work was supported in part by NSFC No.11171338.

LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS

 CHEN Ze-Qan1, YIN Zhi1,2   

  1. 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2011-03-20 Online:2012-05-20 Published:2012-05-20
  • Supported by:

    This work was supported in part by NSFC No.11171338.

摘要:

The Littlewood-Paley and Marcinkiewicz's multiplier theorems on the quan-tum torus are established. An key ingredient of the proof is vector-valued Littlewood-Paley and noncommutative Khinchin's inequalities.

关键词: Quantum torus, Fourier series, Littlewood-Paley theory, multipliers

Abstract:

The Littlewood-Paley and Marcinkiewicz's multiplier theorems on the quan-tum torus are established. An key ingredient of the proof is vector-valued Littlewood-Paley and noncommutative Khinchin's inequalities.

Key words: Quantum torus, Fourier series, Littlewood-Paley theory, multipliers

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  • 46L53