H<sub>q</sub>~p(p≥1,q&gt;2)空间的完备性

您当前的位置：

首页 >

文章列表页 >

H_q~p(p≥1,q>2)空间的完备性

更新时间：2026-01-21

- H_q~p(p≥1,q>2)空间的完备性
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Issue 1, (1987)
- 作者机构：
  
  延边大学
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1987
- 稿件说明：
移动端阅览
[1]金元泽.H_q~p(p≥1,q>2)空间的完备性[J].新疆大学学报(自然科学版),1987(01):37-39.

金元泽. H_q~p(p≥1,q>2)空间的完备性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1987, (1).
[1]金元泽.H_q~p(p≥1,q>2)空间的完备性[J].新疆大学学报(自然科学版),1987(01):37-39. DOI：

金元泽. H_q~p(p≥1,q>2)空间的完备性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1987, (1). DOI：

本文证明了:如果函数序列{fz(z)}在H:(P≥1

q>2)意义下自身平均收敛

则该序列在|z|<1内闭一致且平均收敛于某个函数f(z)∈H:(P≥1

q>2)。

Xing Fuchong

in his paper 《About The Best Approximation Problem in Hp'(p≥1) Space》

has proved that Hq~p space is complete when p≥1 and q=2. This paper proved that Hq~p space is also complete when p≥1

q>2; and got the following result:If a fuctional sequence {f

(z)} is self-mean convergence under the significance of Hq~p

(p≥1

q>2)

then for any closed domain inunit circle |z|<1

the fuctional sequence converges uniformly and in the mean to a fuction f?(z)∈Hq~p(p≥1

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

⁰

Hq~p(p≥1,q>2)空间的完备性