LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS

doi:10.1016/S0252-9602(12)60097-6

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

LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS

陈泽乾¹|尹智^1,2

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 Zhi^1,2

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/Abstract

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:

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

中图分类号:

46L53

陈泽乾, 尹智. LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS[J]. 数学物理学报(英文版), 2012, 32(3): 1255-1261.

CHEN Ze-Qan, YIN Zhi. LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS[J]. Acta mathematica scientia,Series B, 2012, 32(3): 1255-1261.

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LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS

LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS

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