ATOMIC DECOMPOSITION OF REAL-VARIABLE TYPE FOR BERGMAN SPACES IN THE UNIT BALL OF C-n
文献类型：期刊论文
| 作者 | Chen, Zeqian1; Ouyang, Wei2,3 |
| 刊名 | PUBLICACIONS MATEMATIQUES
 |
| 出版日期 | 2014 |
| 卷号 | 58期号:2页码:353-377 |
| 关键词 | Bergman space atomic decomposition Bergman kernel homogeneous space maximal function |
| 英文摘要 | In this paper we show that, for any 0 < p <= 1 and alpha > -1, every (weighted) Bergman space A(alpha)(p)(B-n) admits an atomic decomposition of real-variable type. More precisely, for each f is an element of A(alpha)(p)(B-n) there exist a sequence of (p, infinity)(alpha)-atoms alpha(k) with compact support and a scalar sequence {lambda(k)} such that f = Sigma(k) lambda(k)a(k) in the sense of distribution and Sigma(k) vertical bar lambda(k)vertical bar(p) less than or similar to parallel to f parallel to(p)(p,alpha); an moreover, f = Sigma(k) lambda P-k(alpha)(a(k)) in A(alpha)(p)(B-n), where P-alpha, is the orthogonal projection from L-alpha(2)(B-n) onto A(alpha)(2)(B-n) The proof is constructive and our construction is based on analysis inside the unit ball B-n associated with a quasimetric. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | HARDY-SPACES ; DOMAINS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000349041100005 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1287]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Chinese Acad Sci, Inst Geodesy & Geophys, Wuhan 430077, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Zeqian,Ouyang, Wei. ATOMIC DECOMPOSITION OF REAL-VARIABLE TYPE FOR BERGMAN SPACES IN THE UNIT BALL OF C-n[J]. PUBLICACIONS MATEMATIQUES,2014,58(2):353-377. |
| APA | Chen, Zeqian,&Ouyang, Wei.(2014).ATOMIC DECOMPOSITION OF REAL-VARIABLE TYPE FOR BERGMAN SPACES IN THE UNIT BALL OF C-n.PUBLICACIONS MATEMATIQUES,58(2),353-377. |
| MLA | Chen, Zeqian,et al."ATOMIC DECOMPOSITION OF REAL-VARIABLE TYPE FOR BERGMAN SPACES IN THE UNIT BALL OF C-n".PUBLICACIONS MATEMATIQUES 58.2(2014):353-377. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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