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加权小Bloch空间上的复合算子 被引量:7

Composition Operators on Weighted Little Bloch Spaces
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摘要 对加权小Bloch空间B0 ,log={ f∈H(D) ;lim|z|→ 1 (1- |z|2 ) (log 11- |z|2 ) |f′(z) |=0 } ,我们刻划了其上复合算子的有界性和紧性 .此处H(D)是复平面单位圆盘D上解析函数的全体 . In this paper, the authors define the weighted little Bloch space B _ 0,log to be the set of all holomorphic functions f on the unit disc D for which lim | z |→1 -(1-| z | 2)(log11-| z| 2)|f′(z) |=0and they characterize the boundedness and compactness of the composition operators on B _ 0,log .
出处 《湖州师范学院学报》 2003年第3期11-16,共6页 Journal of Huzhou University
关键词 BLOCH空间 加权BLOCH空间 小Bloch空间 加权小Bloch空间 复合算子 Bloch space weighted Bloch space little Bloch space weighted little Bloch space composition operator
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参考文献5

  • 1K Madigan and A Matheson. Compact Composition Operators on the Bloch Space[J]. Trans Amer. Math. Soc., 1995,347:2679~ 2687.
  • 2史济怀,罗罗.多复变数Bloch空间上的复合算子[J].数学学报(中文版),2001,44(1):1-10. 被引量:8
  • 3J H Shapiro. Composition Operators on Classical Function Theory[M], New Youk, 1993.
  • 4R Yoneda. The Composition Operators on Weighted Bloch Space[J]. Arch. Math., 2002:310~ 317.
  • 5K Zhu. Multipliers on BMO in the Bergman Metric with Applications to Toeplitz Operators[J]. J. Functional Anal., 1989, 87:31 ~50.

二级参考文献3

  • 1K. Madigan,A. Matheson.Compact composition operators on the Bloch space[].Transactions of the American Mathematical Society.1995
  • 2Timoney R.Bloch Function in Several Complex Variables II , J[].Reine Angew.1980
  • 3Timoney R.Bloch function in several complex variables I[].Bulletin of the London Mathematical Society.1980

共引文献7

同被引文献21

引证文献7

二级引证文献8

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