Acta mathematica scientia, Series B >
VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cn
Received date: 2005-01-30
Revised date: 1900-01-01
Online published: 2007-01-20
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
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 . DOI: 10.1016/S0252-9602(07)60005-8
/
| 〈 |
|
〉 |