| 张学军,吕睿昕,唐鹏程.Cn中单位球上一般Hardy型空间的几种 等价刻画[J].数学年刊A辑,2019,40(2):113~126 |
| Cn中单位球上一般Hardy型空间的几种 等价刻画 |
| Several Equivalent Characterizations of General Hardy Type Spaces on the Unit Ball in Cn |
| Received:April 14, 2018 Revised:October 05, 2018 |
| DOI：10.16205/j.cnki.cama.2019.0010 |
| 中文关键词: General Hardy type spaces, Integral's bidirectional estimaes, Equivalentcharacterization, Fractional derivatives, Unit ball |
| 英文关键词:General Hardy type spaces, Integral's bidirectional estimaes, Equivalentcharacterization, Fractional derivatives, Unit ball |
| 基金项目:本文受国家自然科学基金(No.11571104)和湖南省研究生科研创新项目(No.CX2018B286)的资助. |
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| 中文摘要: |
| 设
$p>0$,\ $s\geq 0$,$q+n\geq 0$, $q+s\geq 0$, 本文探讨了$\bf C^{n}$中单位球$B$上一般Hardy型
空间$H^{p,q,s}(B)$的几种等价刻画. 同时, 本文还给出了单位球内双变点球面积分所有情形的双向估计. |
| 英文摘要: |
| \ Let $p>0$, $s\geq 0$, $q+n\geq 0$, $q+s\geq 0$. In this paper,
the authors discuss several equivalent characterizations of general
Hardy type spaces $H^{p, q, s} (B) $ on the unit ball $B$ of $\bf
C^{n}$. At the same time, the authors also give a spherical
integral's bidirectional estimates with two variable points in $B$
for all cases. |
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