期刊文献+

不同Bloch型空间之间的积型算子的紧性

The Compactness of Product-Type Operators Between Different Bloch Type Spaces
原文传递
导出
摘要 利用Bloch型空间中函数的导数的估计,通过构造一些新的检验函数,运用解析函数的性质与算子理论,给出了不同Bloch型空间中的积型算子紧性的特征. In this paper, using the estimate of the derivative of the function in Bloch type spaces, the properties of the analytic function and operator theory, the authors characterize the compactness of product-type operators between different Bloch type spaces by means of constructing some test functions.
作者 房敏 刘永民
出处 《数学学报(中文版)》 CSCD 北大核心 2017年第4期661-668,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(11171285) 江苏高校品牌专业建设工程(PPZY2015A013) 江苏省基础研究计划(BK20161158) 江苏省普通高校研究生科研创新计划(CXLX13-970)
关键词 BLOCH型空间 积型算子 Tψ2 φ紧性 Bloch type space product-type operators Tψ2,φ compactness
  • 相关文献

参考文献1

二级参考文献41

  • 1Ye S. Multipliers and cyclic vectors on the weighted Bloch space [J]. Math J Okayama Univ, 2006, 48:135-143.
  • 2Arazy J. Multipliers of Bloch functions [C]. University of Haifa Mathematics Publica- tions Series, 1982.
  • 3Brown L, Shields A L. Multipliers and cyclic vectors in the Bloch space [J]. Michigan Math J, 1991, 38(1):141-146.
  • 4Li S, Stevid S. Volterra-type operators on Zygmund spaces [J/OL]. J Inequal Appl, 2007, 2007, Article ID: 32124, 10 pages.
  • 5Attele K R M. Toeplitz and Hankel operators on Bergman one space [J]. Hokkaido Math J, 1992, 21(2):279-293.
  • 6Stevid S, Sharma Ajay K, Bhat A. Products of multiplication, composition and dif- ferentiation operators on weighted Bergman space [J]. Appl Math Comput, 2011, 217(20):8115 8125.
  • 7Stevid S, Sharma Ajay K, Bhat A. Essential norm of products of multiplication composi- tion and differentiation operators on weighted Bergman spaces [J]. Appl Math Comput, 2011, 218(6):2386-2397.
  • 8Liu Y, Yu Y. On a Stevid-Sharma operator from Hardy spaces to the logarithmic Bloch spaces [J/OL]. J Inequal Appl, 2015, 2015:22, DOI: 10.1186/s13660-015-0547-1.
  • 9Zhang F, Liu Y. Products of multiplication, composition and differentiation opera- tors from mixed-norm spaces to weighted-type spaces [J]. Taiwan Residents J Math, 2014, 18(6):1927-1940.
  • 10Liu X, Yu Y. The product of differentiation operator and multiplication operator from H~ to Zygmund spaces [J]. J Xuzhou Norm Univ Nat Sci Ed, 2011, 29:37 39.

共引文献1

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