| 上半平面的Hardy空间到增长型空间和Bloch空间的加权复合算子 |
| |
| 引用本文： | 胡清孝,叶善力,刘慧琴.上半平面的Hardy空间到增长型空间和Bloch空间的加权复合算子[J].福建师范大学学报(自然科学版),2012,28(1):12-15. |
| |
| 作者姓名： | 胡清孝 叶善力 刘慧琴 |
| |
| 作者单位： | 福建师范大学数学与计算机科学学院,福建福州,350108 |
| |
| 基金项目： | 福建省自然科学基金资助项目 |
| |
| 摘 要： | 讨论了从上半平面的H ardy空间Hp(Π+)到增长型空间A∞(Π+)和B loch空间B∞(Π+)的加权复合算子的有界性,得到以下结论:(i)uCφ是空间Hp(Π+)到A∞(Π+)之间的有界算子的充要条件;(ii)uCφ是空间Hp(Π+)到B∞(Π+)之间的有界算子的充要条件.
|
| 关 键 词： | 加权复合算子 Hardy空间 Bloch空间 有界性 |
Weighted Composition Operator from Hardy to Growth and Bloch Spaces over Upper Half-plane |
| |
| HU Qing-xiao
,
YE Shan-li
,
LIU Hui-qin.Weighted Composition Operator from Hardy to Growth and Bloch Spaces over Upper Half-plane[J].Journal of Fujian Teachers University(Natural Science),2012,28(1):12-15. |
| |
| Authors: | HU Qing-xiao YE Shan-li LIU Hui-qin |
| |
| Institution: | (School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350108,China) |
| |
| Abstract: | The boundedness of the weighted composition operator uCφ from Hardy spaces Hp(Π+) to growth spaces A∞(Π+) and Bloch spaces B∞(Π+) over the upper half-plane is researched.It is obtained as follows:(i)some necessary and sufficient conditions are given for which uCφ is a bounded operator from Hp(Π+) to A∞(Π+);(ii) some necessary and sufficient conditions are given for which uCφ is a bounded operator from Hp(Π+) to B∞(Π+). |
| |
| Keywords: | weighted composition operator Hardy space Bloch space boundedness |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
