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从单位球上Bergman型空间到Bers型空间的加权复合算子 被引量：2

Weighted composition operators from Bergman-type spaces to Bers-type spaces in the unit ball
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摘要 本文利用Bergman型空间A_ω~p中函数值的估计,通过构造一些新的测试函数,得到了多复平面C^n中单位球上Bergman型空间A_ω~p到B3ers型空间H_v~∞、小Bers型空间H_v^0的加权复合算子有界性和紧性的充要条件,此外,还获得了Bloch型空间上有界复合算子的谱. In this paper, using the estimate of the function in the Bergman-type spaces, the author gives some necessary and sufficient conditions for weighted composition operator from Bergmantype space A^p w to Bers-type space H∝ v and little Berstype space H^ο v to be bounded and compact, and also the spectrum of composition operators on Blochtype space is obtained.
作者 周锋
机构地区 四川理工学院理学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第2期294-298,共5页 Journal of Sichuan University(Natural Science Edition)
基金 四川省教育厅重点项目(11ZA120)
关键词 单位球 Bergman型空间 BERS型空间 加权复合算子 unit ball, Bergmantype space, Berstype space, weighted composition operators
分类号 O175.56 [理学—基础数学]
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参考文献14

二级参考文献46

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共引文献11

同被引文献17

  • 1Kang S H, Kim J Y. Toeplitz operators on the weighted Bergman spaces of the half-plane [J]. Bull Korean Math Soc, 2000, 37 (3): 437.
  • 2Kang S H. Berezin transforms and Toeplitz opera- tors on the weighted Bergman spaces of the half- plane [J]. Bull Korean Math Soc, 2007, 44 (2) : 281.
  • 3Stevic S. Composition operators from the Hardy Space to the Zygmund-type space on the upper half-plane [J]. Abstract and Applied Analysis, 2009 : 8.
  • 4Jiang Z J. Composition operators from weightedBergman spaces to analytic function spaces of the upper half-plane [J]. Utilitas Mathematica, 2014, 92 (3): 1114.
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  • 7Du D Y. On a class of operators from Hardy spaces to some spaces of analytic functions of the upper half- plane [J]. 四川大学学报:自然科学版,2011,49(2):294.
  • 8Hibschweiler R A, Portnoy N. Composition fol- lowed by differentiation between Bergman and Hardy spaces [J]. Rocky Mountain J Math, 2005, 35 (3) : 843.
  • 9Ohno S. Products of composition and differentia- tion on Bloch spaces [J]. Bull Korean Math Soc, 2009, 46 (6): 1135.
  • 10Kang S H, Kim J Y. The radial derivatives on weighted Bergman spaces [J]. Commun Korean Math Soc, 2003, 18 (2): 243.

引证文献2

二级引证文献4

四川大学学报（自然科学版）
2012年 第2期

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