KMS Of Academy of mathematics and systems sciences, CAS
| Q(p) spaces on Riemann surfaces | |
| Aulaskari, R; He, YZ; Ristioja, J; Zhao, RH | |
| 1998-06-01 | |
| 发表期刊 | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
 |
| ISSN | 0008-414X |
| 卷号 | 50期号:3页码:449-464 |
| 摘要 | We study the function spaces Q(p)(R) defined on a Riemann surface R, which were earlier introduced in the unit disk of the complex plane. The nesting property Q(p)(R) subset of or equal to Q(q)(R) for 0 < p < q < infinity is shown in case of arbitrary hyperbolic Riemann surfaces. Further, it is proved that the classical Dirichlet space AD(R) subset of or equal to Q(p)(R) for any p, 0 < p < infinity, thus sharpening T. Metzger's well-known result AD(R) subset of or equal to BMOA(R). Also the first author's result AD(R) subset of or equal to VMOA(R) for a regular Riemann surface R is sharpened by showing that, in fact, AD(R) subset of or equal to Q(p,0)(R) for all p, 0 < p < infinity. The relationships between ep(R) and various generalizations of the Bloch space on R are considered. Finally we show that Q(p)(R) is a Banach space for 0 < p < infinity. |
| 语种 | 英语 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| WOS记录号 | WOS:000074711500001 |
| 出版者 | CANADIAN MATHEMATICAL SOC |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/13326 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Aulaskari, R |
| 作者单位 | 1.Univ Joensuu, Dept Math, FIN-80101 Joensuu, Finland 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Aulaskari, R,He, YZ,Ristioja, J,et al. Q(p) spaces on Riemann surfaces[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,1998,50(3):449-464. |
| APA | Aulaskari, R,He, YZ,Ristioja, J,&Zhao, RH.(1998).Q(p) spaces on Riemann surfaces.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES,50(3),449-464. |
| MLA | Aulaskari, R,et al."Q(p) spaces on Riemann surfaces".CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 50.3(1998):449-464. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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