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单位球上Zygmund空间到α-Bloch空间的复合算子
  • ISSN号：1671-8836
  • 期刊名称：《武汉大学学报：理学版》
  • 时间：0
  • 分类：O174.56[理学—数学;理学—基础数学]
  • 作者机构：[1]中国科学院武汉物理与数学研究所,湖北武汉430071, [2]武汉工程大学理学院,湖北武汉430073, [3]中国科学院研究生院.北京100049
  • 相关基金：国家自然科学基金资助项目（10571044）
作者： 戴济能[1,2,3], 欧阳才衡[1]
关键词： 复合算子, ZYGMUND空间, BLOCH空间, composition operator, Zygmund space, Bloch space
中文摘要：

讨论了单位球上Zygmund空间Z到α-Bloch空间Bα的复合算子Cφ的有界性和紧性,得到了算子Cφ：Z→Bα为有界和紧的几个充要条件.给出了当μ（t）=（log e/（1-t2）-1时,μ-Bloch空间Bμ到α-Bloch空间Bα的复合算子Cφ为有界算子和紧算子的充要条件.

英文摘要：

The boundedness and compactness of composition operators Cφ from the Zygmund space Z to the α-Bloch space Bα are discussed in the unit ball,and some sufficient and necessary conditions are obtained for the operator Cφ：Z→Bα to be bounded and compact. At the same time,the sufficient and necessary conditions are given for the composition operator Cφ to be bounded and compact from the μ-Bloch space Bα to the α-Bloch space Bα when μ（t）=（log e/（1-t2））-1.

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期刊信息
  • 《武汉大学学报：理学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国2教育部
  • 主办单位:武汉大学
  • 主编：刘经南
  • 地址：湖北武昌珞珈山
  • 邮编：430072
  • 邮箱：whdz@whu.edu.cn
  • 电话：027-68756952
  • 国际标准刊号：ISSN：1671-8836
  • 国内统一刊号：ISSN：42-1674/N
  • 邮发代号:38-8
  • 获奖情况:
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  • 被引量:6988