Acta mathematica scientia,Series B
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Li Yingkui; Liu Peide
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In this article, the authors study the vector-valued random power series on the unit ball of Cn and get vector-valued Salem--Zygmund theorem for them by using martingale technique. Further, the relationships between vector-valued random power series and several function spaces are also studied.
Key words: Random power series, Rademacher function, Salem-Zygmund theorem
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Li Yingkui; Liu Peide. VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cn[J].Acta mathematica scientia,Series B, 2007, 27(1): 57-66.
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URL: http://actams.apm.ac.cn/sxwlxbB/EN/10.1016/S0252-9602(07)60005-8
http://actams.apm.ac.cn/sxwlxbB/EN/Y2007/V27/I1/57
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