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Bloch-type空间到Zygmund-type空间的微分复合算子
  • ISSN号：1671-9352
  • 期刊名称：《山东大学学报：理学版》
  • 时间：0
  • 分类：O174.5[理学—数学;理学—基础数学]
  • 作者机构：[1]天津大学理学院,天津300072
  • 相关基金：国家自然科学基金资助项目（10971153;10671141）
作者： 蒋晓宇[1]
关键词： Bloch-type空间, Zygmund-type空间, 有界性, 紧性, Bloch-type space , Zygmund-type space , boundedness , compactness
中文摘要：

利用泛函分析多复变的方法,讨论了单位圆盘上Bloch-type空间Bα和Zygmund-type空间Zμ的微分复合算子CФD的有界性和紧性问题,给出了CФD从Bα到Zμ是有界算子或紧算子的充要条件。

英文摘要：

The composition followed by differentiation CФD is characterized between the Bloch-type space B and the Zygmund-type space Zμ on the unit disk. By the methods of functional analysis and several complex variables, some necessary and sufficient conditions are given for CФD to be a bounded operator or a compact operator from B to Z.

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最小的MObius不变空间到Bloch型空间的一个积分型算子
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期刊信息
  • 《山东大学学报：理学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:山东大学
  • 主编：刘建亚
  • 地址：济南市经十路17923号
  • 邮编：250061
  • 邮箱：xblxb@sdu.edu.cn
  • 电话：0531-88396917
  • 国际标准刊号：ISSN：1671-9352
  • 国内统一刊号：ISSN：37-1389/N
  • 邮发代号:24-222
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,英国英国皇家化学学会文摘
  • 被引量:6243