期刊文献+

Besov空间到Zygmund空间的Volterra算子和复合算子的乘积

Products of Volterra Operator and Composition Operator from Besov Spaces to Zygmund Spaces
下载PDF
导出
摘要 研究了在单位圆盘上Besov空间到Zygmund空间的Volterra算子和复合算子的乘积算子的有界性和紧性特征.利用泛函分析和复合分析的方法,得到了Besov空间到Zygmund空间该算子是有界算子或紧算子的充要条件. In this paper,we study the boundedness and compactness of the products of Volterra operator and composition operator from Besov spaces to Zygmund spaces on the unit disk. By using the method of functional analysis and complex analysis, some necessary and sufficient conditions are given such that the products of Volterra operator and composition operator are bounded or compact.
出处 《湖州师范学院学报》 2011年第1期42-47,共6页 Journal of Huzhou University
基金 国家自然科学基金项目(10971063) 浙江省自然科学基金项目(Y6100219) 浙江省新苗人才计划项目(2009R425018)
关键词 BESOV空间 ZYGMUND空间 乘积算子 有界性 紧性 Besov spaces Zygmund spaces product operator boundedness compactness
  • 相关文献

参考文献8

  • 1DUREN P L.Theory of Hp spaces[M].New York,Academic Press,1970:76-78. 被引量:1
  • 2LI S X,STEVIC S.Products of Volterra type operator and composition operator from H∞ and Bloch spaces to Zygmund spaces[J].J Math Anal Appl,2008,345:40-52. 被引量:1
  • 3LI S X,STEVIC S.Products of composition and integral type operators from Ha to Bloch space[J].Complex Ariables and Elliptic Equations,2008,53:463-474. 被引量:1
  • 4ZHU X L.Products of differentiation,composition and multiplication from Bergman type spaces to Bers type spaces[J].Integral Transforms and Special Functions,2007,18(3):223-231. 被引量:1
  • 5LI S X,STEVIC S.Products of integral-type operators and composition operators between Bloch-type spaces[J].J Math Anal Appl,2009,349:596-610. 被引量:1
  • 6叶善力.小Bloch型空间和Bloch型空间之间的点乘算子[J].福建师范大学学报(自然科学版),2006,22(2):1-4. 被引量:9
  • 7MADIGAN K,MATHESON A.Compact composition on the Bloch Space[J].Trans Amer Math Soc,1995,347:2679-2687. 被引量:1
  • 8唐笑敏,胡璋剑.Bergman空间和q-Bloch空间之间的复合算子[J].数学年刊(A辑),2006,27(1):109-118. 被引量:5

二级参考文献13

  • 1叶善力.小Bloch型空间和Bloch型空间之间的点乘算子[J].福建师范大学学报(自然科学版),2006,22(2):1-4. 被引量:9
  • 2MacCluer B. D. and Shapiro J. H., Angular derivative and composition operators on the Hardy and Bergman spaces [J], Canad. J. Math., 1986, 38:878-906. 被引量:1
  • 3Shapiro J. H., Composition Operators on Classical Function Theory [M], New York,1993. 被引量:1
  • 4Madigan K. and Matheson A., Compact composition operators on the Bloch space [J],Trans. Amer. Math. Soc., 1995, 347:2679-2687. 被引量:1
  • 5Zhao R., Composition operators from Bloch type spaces to Hardy and Besov spaces [J],J. Math. Anal. Appl., 1999, 233:749-766. 被引量:1
  • 6Perez-Gonzz1ez F. and Xiao J., Bloch-Hardy Pullbacks [J], Acta Sci. Math. (Szeged),2001, 67:709-718. 被引量:1
  • 7Alvaerz V., Marquez M. A. and Vukoti6 D., Composition and superposition operators between the Bloch space and Bergman spaces [R], Preprint. 被引量:1
  • 8Kwon E. G. and Lee J., Norm of the composition operator mapping Bloch into Hardy or Bergman space [J], Commun. Korean Math. Soc., 2003, 18:653-659. 被引量:1
  • 9Zygmund A., Trigonometric Series [M], UK, Cambridge: Cambridge Univ. Press, 1959. 被引量:1
  • 10Hu Z. J., Extended Cesaro operators on mixed norm spaces [J], Proc. Amer. Math.Soc., 2002, 131:2171-2179. 被引量:1

共引文献12

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部