期刊文献+

Toeplitz operators on Fock-Sobolev spaces with positive measure symbols 被引量:11

Toeplitz operators on Fock-Sobolev spaces with positive measure symbols
原文传递
导出
摘要 We discuss Toeplitz operators on Fock-Sobolev space with positive measure symbols.By FockCarleson measure,we obtain the characterizations for boundedness and compactness of Toeplitz operators.We also give some equivalent conditions of Schatten p-class properties of Toeplitz operators by Berezin transform. We discuss Toeplitz operators on Fock-Sobolev space with positive measure symbols.By FockCarleson measure,we obtain the characterizations for boundedness and compactness of Toeplitz operators.We also give some equivalent conditions of Schatten p-class properties of Toeplitz operators by Berezin transform.
出处 《Science China Mathematics》 SCIE 2014年第7期1443-1462,共20页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos.11271092 and 11301101) Guangzhou Higher Education Science and Technology Project (Grant No.2012A018)
关键词 Fock-Sobolev space Toeplitz operator BOUNDEDNESS COMPACTNESS Schatten p-class Toeplitz算子 Sobolev空间 索伯列夫空间 等价条件 紧凑性 类属性
  • 相关文献

参考文献12

  • 1Berger C, Coburn L. Toeplitz operators and quantum mechanics. J Funct Anal, 1986, 68:273-299. 被引量:1
  • 2Berger C, Coburn L. Toeplitz operators on the Segal-Bargmann space. Trans Amer Math Soc, 1987, 301:813 829. 被引量:1
  • 3Berger C, Coburn L. Heat flow and Berezin-Toeplitz estimates. Amer J Math, 1994, 116:563 590. 被引量:1
  • 4Cho H R, Zhu K. Fock-Sobolev Spaces and Their Carleson Measures. ArXiv:org/abs/1212.0737. 被引量:1
  • 5Cho H R, Zhu K. Fock-Sobolev Spaces and Their Carleson Measures. J Funct Anal, 2012, 263:2483 2506. 被引量:1
  • 6Coburn L, Isralowitz J, Li B. Toeplitz operators with BMO symbols on the Segal-Bargmann space. Trans Amer Math Soc, 2011, 363:3015-3030. 被引量:1
  • 7Isralowitz J. Compactness and essential norm properties of operators on generalized Fock space, Perprint, 2013. 被引量:1
  • 8Isralowitz J, Zhu K. Toeplitz operators on the Fock space. Integral Equations Operator Theory, 2012, 72:363 392. 被引量:1
  • 9Janson S, Peetre J, Rochberg R. Hankel forms and the Fock space. Reivsta Mat Ibero-Amer, 1987, 3: 61- 138. 被引量:1
  • 10Schuster A P, Varolin D. Toeplitz operators and Carleson measures on Generalized Bargman-Fock spaces. Integral Equations Operator Theory, 2010, 66:593 611. 被引量:1

同被引文献14

引证文献11

二级引证文献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