| Item type |
紀要論文 / Departmental Bulletin Paper(1) |
| 公開日 |
2007-10-15 |
| タイトル |
|
|
タイトル |
On a theorem of MacCluer and Shapiro |
| 言語 |
|
|
言語 |
eng |
| 資源タイプ |
|
|
資源 |
http://purl.org/coar/resource_type/c_6501 |
|
タイプ |
departmental bulletin paper |
| 著者 |
Matsugu, Y
Nagai, S
Ueki, S
|
| 出版者 |
|
|
出版者 |
信州大学理学部 |
| 引用 |
|
|
内容記述 |
Journal of the Faculty of Science Shinshu University 40:1-26(2006) |
| 書誌情報 |
Journal of the Faculty of Science Shinshu University
巻 40,
p. 1-26,
発行日 2006-03-24
|
| 抄録 |
|
|
内容記述 |
Let μ be a holomorphic function in the unit ball B of C^n and φ be a univalent holomorphic self-map of B. We give some sufficient conditions for μ and φ that the weighted composition operator μC_φ is bounded or compact on the Hardy spaces H^p(B) and the weighted Bergman spaces A^p(v_a) (0<p<∞,-1<α<∞). This our result is a generalization of a theorem of B. D. MacCluer and J. H. Shapiro [9] concerning the composition operator C_φ. And we also give similar sufficient conditions for such operator to be metrically bounded or metrically compact on the Privalov spaces N^p(B) (1<p<∞) and the weighted Bergman-Privalov spaces (AN)^p (v_a) (1≤p<∞, -1<α<∞). |
| 資源タイプ（コンテンツの種類） |
|
| ISSN |
|
|
収録物識別子タイプ |
PISSN |
|
収録物識別子 |
0583-063X |
| 書誌レコードID |
|
|
収録物識別子タイプ |
NCID |
|
収録物識別子 |
AA00697923 |
| 出版タイプ |
|
|
出版タイプ |
VoR |
|
出版タイプResource |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
KJ00004361935.pdf (1.1 MB)
