| 邱德华,杨向群.B值随机元阵列加权和的Lr收敛性[J].数学研究及应用,2005,25(1):169~175 |
| B值随机元阵列加权和的Lr收敛性 |
| Lr Convergence of Weighted Sums of Arrays of Banach Space Valued Elements |
| 投稿时间：2003-12-29 |
| DOI：10.3770/j.issn:1000-341X.2005.01.025 |
| 中文关键词: B值适应随机元阵列 p可光滑的Banach空间 Lr收敛性 |
| 英文关键词:Arrays of B-valued adapted random element p-smoothable Banach space Lr convergence |
| 基金项目:国家自然科学基金(10071019),湖南省教育厅科研基金(03C094). |
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| 中文摘要: |
| 设B是实可分的Banach空间,{Xni,Fni,un≤i≤vn,n≥1}是B值适应随机元阵列,{αni,un≤i≤vn,n≥1}是实数阵列,当0＜r＜1或1≤r≤p且B是p可光滑时,研究了∑vni=un aniXni的Lr收敛性,所得的结果推广并改进了许多已知的结果. |
| 英文摘要: |
| Let B be a separable Banach space, let {Xni,Fni,un≤i≤vn,n≥1} be an arrays of B-valued adapted random elements, and let {αni,un≤i≤vn,n≥1} be an arrays of real numbers. When 0＜r＜1 or 1≤r≤p and B are p-smoothable, Lr convergence of weighted sums ∑vni=un aniXni is investigated in this paper. Some known results are extended. |
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