期刊文献+

Integral operators on analytic Morrey spaces 被引量:7

Integral operators on analytic Morrey spaces
原文传递
导出
摘要 In this note,we characterize the boundedness of the Volterra type operator Tg and its related integral operator Ig on analytic Morrey spaces.Furthermore,the norm and essential norm of those operators are given.As a corollary,we get the compactness of those operators. In this note,we characterize the boundedness of the Volterra type operator Tg and its related integral operator Ig on analytic Morrey spaces.Furthermore,the norm and essential norm of those operators are given.As a corollary,we get the compactness of those operators.
出处 《Science China Mathematics》 SCIE 2014年第9期1961-1974,共14页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant Nos.11171203 and 11201280) Research Fund for the Doctoral Program of Higher Education of China(Grant No.20114402120003) National Science Foundation of Guangdong Province(Grant Nos.10151503101000025 and S2011010004511)
关键词 analytic Morrey space Volterra type operator essential norm Morrey空间 积分算子 Volterra型 运营商 有界性 紧凑性
  • 相关文献

参考文献1

二级参考文献19

  • 1Anderson J M, Fernandez J L, Shields A L. Inner functions in the cyclic vectors in the Bloch space. Trails Amer Math Soc, 1990, 323(2): 429-448.
  • 2Aulaskari R, Stegenga D A, Xiao J. Some subclasses of BMOA and their characterizations in terms of Carleson measures. Rocky Mountain J Math, 1996, 26(2): 485-506.
  • 3Aleman A, Carleson M, Persson A M. Preduals of Qp-spaces. Complex Var Elliptic Equ, 2007, 52(7): 605-628.
  • 4Baernstein Ⅱ A. Analytic function of bounded mean oscillation//Brannan D, Clume J. Aspects of Contemporary Complex Analysis. London: Academic Press, 1980:3-36.
  • 5Beurling A. On two problems concering linear transformations in Hilbert space. Acta Math, 1949, 81(1): 239-255.
  • 6Brown L, Shields A L. Multipliers and cyclic vectors in the Bloch space. Michigan Math J, 1991, 38(1): 141-146.
  • 7Brown L, Shields A L. Cyclic vectors in the Dirichlet space. Trans Amer Math Soc, 1984, 285(1): 269-304.
  • 8Duren P L. Theory of Hp Spaces. Academic Press, 1970.
  • 9El-Fallash O, Kellay K, Ransford T. Cyclicity in the Dirichlet space. Ark Mat, 2006, 44(1): 61-86.
  • 10Garnett J. Bounded Analytic Functions. San Diego: Academic Press, 1981.

共引文献1

同被引文献5

引证文献7

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