文献类型：期刊文献

英文题名：Random Power Series in Q(p,0) Spaces

作者：Li, Haiyin[1];Wu, Yan[2]

第一作者：李海银

通讯作者：Wu, Y[1]

机构：[1]Henan Univ Econ & Law, Dept Math & Informat, Zhengzhou, Peoples R China;[2]Linyi Univ, Sch Math & Stat, Linyi, Shandong, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Linyi Univ, Sch Math & Stat, Linyi, Shandong, Peoples R China.

年份：2021

卷号：2021

外文期刊名：JOURNAL OF FUNCTION SPACES

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000710951800001)】；

基金：AcknowledgmentsThis research is partially supported by the National Natural Science Foundation of China through Grants 11701250 and 12171221 and by the Natural Science Foundation of Shandong Province through Grant ZR2019YQ04.

语种：英文

摘要：Aulaskari et al. proved if 0 < p < 1 and {en} is sequence of independent, identically distributed Rademacher random variables on aprobability space, then the condition Sn=0⁸n^1-p|an|^{2 & nbsp;}< 8 implies that the random power series (Rf(z) = ?n=0^{8 & nbsp;}anenzⁿ?Q^palmostsurely. In this paper, we improve this result showing that the condition Sn=0⁸n^1-p|an|^{2 & nbsp;}< 8 actually implies Rf ? Qp,0 & nbsp;almost surely.