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A Class of Normal Weighted Composition Operators on the Fock Space of C^n 被引量：3

A Class of Normal Weighted Composition Operators on the Fock Space of C^n
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摘要 This paper characterizes a class of normal weighted composition operators and their spectrum on the Fock space of Cn. This paper characterizes a class of normal weighted composition operators and their spectrum on the Fock space of Cn.
作者 Lian Kuo ZHAO
机构地区 School of Mathematics and Computer Science
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第11期1789-1797,共9页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China(Grant Nos.11201274,11471189)
关键词 Fock space weighted composition operator NORMAL SPECTRUM Fock space, weighted composition operator, normal, spectrum
分类号 O177 [理学—基础数学]
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参考文献14

  • 1Carswell, B. J., MacCluer, B. D., Schuster, A.: Compostion operators on the Fock space. Acta Sci. Math. (Szeged), 69, 871-887 (2003).
  • 2Choe, B. R., Izuchi, K. H., Koo, H.: Linear sums of two composition operators on the Fock space. Y. Math. Anal. Appl., 369(1), 112-119 (2010).
  • 3Grudsky, S. M., Vasilevski, N. L.: Toeplitz operators on the Fock space: radial compotent effects. Integral Equations Operator Theory, 44, 10-37 (2002).
  • 4Guo, K. Y., Izuchi, K.: Composition operators on Fock type spaces. Acta Sci. Math. (Szeged), 74, 805-826 (2008).
  • 5Hu, Z., Lv, X.: Toeplitz operators from one Fock space to another. Integral Equations Operator Theory, 70(4), 541-559 (2011).
  • 6Isralowitz, J., Zhu, K. H.: Toeplitz operators on the Fock space. Integral Equations Operator Theory, 66(4), 593-611 (2010).
  • 7Janson, S., Peetre, J., Rochberg, R.: Hankel forms and the Fock space. Rev. Mat. Iberoamericana, 3, 61-129 (1987).
  • 8Le, T.: Normal and isometric weighted composition operators on the Fock space. Bull. London Math. Soc., 46, 847-856 (2014).
  • 9Le, T.: Self-adjoint, unitary and normal weighted composition operators in several variables. J. Math. Anal. Appl., 395, 596-607 (2012).
  • 10Seip, K., Youssfi, E. H.: Hankel operators on Fock spaces and related Bergman kernel estimates. J. Geom. Anal., 1-32 (2010).

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Acta Mathematica Sinica,English Series
2015年 第11期

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