Acta mathematica scientia, Series B >
LITTLEWOOD-PALEY THEOREM AND MULTIPLIERS ON THE QUANTUM TORUS
Received date: 2011-03-20
Online published: 2012-05-20
Supported by
This work was supported in part by NSFC No.11171338.
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
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 . DOI: 10.1016/S0252-9602(12)60097-6
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