| C~n中单位球上一般Hardy型空间的几种等价刻画 |
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| 引用本文： | 张学军,吕睿昕,唐鹏程.C~n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(中文版),2019,40(2):113-126. |
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| 作者姓名： | 张学军 吕睿昕 唐鹏程 |
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| 作者单位： | 通信作者. 湖南师范大学数学与统计学院, 长沙 410006.,湖南师范大学数学与统计学院, 长沙 410006.,湖南师范大学数学与统计学院, 长沙 410006. |
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| 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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| 摘 要： | 设p 0, S≥0, q+n≥0, q+s≥0,本文探讨了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.
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| 关 键 词： | General Hardy type spaces Integral''s bidirectional estimaes Equivalentcharacterization Fractional derivatives Unit ball |
| 收稿时间： | 2018/4/14 0:00:00 |
| 修稿时间： | 2018/10/5 0:00:00 |
Several Equivalent Characterizations of General Hardy Type Spaces on the Unit Ball in Cn |
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| ZHANG Xuejun,LV Ruixin and TANG Pengcheng.Several Equivalent Characterizations of General Hardy Type Spaces on the Unit Ball in Cn[J].Chinese Annals of Mathematics,2019,40(2):113-126. |
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| Authors: | ZHANG Xuejun LV Ruixin and TANG Pengcheng |
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| Institution: | Corresponding author. School of Mathematics and Statistics, Hunan Normal University, Changsha 410006, China.,School of Mathematics and Statistics, Hunan Normal University, Changsha 410006, China. and School of Mathematics and Statistics, Hunan Normal University, Changsha 410006, China. |
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| Abstract: | \ 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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| Keywords: | General Hardy type spaces Integral''s bidirectional estimaes Equivalentcharacterization Fractional derivatives Unit ball |
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