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BMOA空间的循环元 被引量:2

Cyclic Vectors in the BMOA Space
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摘要 在文中,刻划了BMOA空间的循环元,得到了f是BMOA空间循环元的充分必要条件是f为外函数. In this paper we try to identify the funciton whose polynomial multiples arcweak' dense in thc BMOA space. Wc obtain that if l f(z) l > 1 g(z) I at all points and if gis cyclic, then f is cyclic, Theorem 2 gives a sufficient and nccessary condition for a functionto be cyclic is that f is an outer function.
作者 叶善力
出处 《数学物理学报(A辑)》 CSCD 北大核心 1997年第3期356-360,共5页 Acta Mathematica Scientia
关键词 循环元 BMOA空间 外函数 解析函数 Cyclic vectors, BMOA space,Outer function
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参考文献1

  • 1Arne Beurling. On two problems concerning linear transformations in hilbert space[J] 1949,Acta Mathematica(1):239~255

同被引文献12

  • 1ZHU K H. Bloch type spaces of analytic function[J]. Rocky Mountain J Math,1993, 23(3) :1143 -1177.
  • 2YE S L. Cyclic Vectors in the a- Bloch Spaces[J] Rocky Mountain J Math (To be printed).
  • 3BERULING A. On two problems concerning linear transfomations in Hilbert space[ J ]. Acta Math, 1949, 81:239 -253.
  • 4RUBLES L A, SHIELDS A L. The space of bounded analytic function on a region[ J ]. Ann Inst Fourier( grenoble), 1966, 16:235 -277.
  • 5ANDERSON J M, FERNANDEZ J L, SHIELDS A L. Inner functions in the Cyclic vectors in the Bloch space[ J ]. Trans Amer Math Soc, 1990,323 : 429 -448.
  • 6BROWN L, SHIELDS A L. Multipliers and cyclic vectors in the Bloch space[ J ]. Michigan Math J, 1991,38:141 -146.
  • 7BROWN L, SHIELDS A L. Cyclic vectors in the Dirichlet space[J]. Trans Amer Math Soc, 1984, 285:269 -304.
  • 8ZHU K H. Operator Theory in function spaces[M]. New York: Deker, 1990.
  • 9ZHAO Ru- han. On a- Bloch functions and VMOA[ J ]. Acta Math Sci, 1996, 16:349 -360.
  • 10叶善力,娄增建.CYCCYCLIC VECTORS AND CELLULAR INDECOMPOSABLE OPERATORS ON Q_p SPACES[J].Acta Mathematica Scientia,2011,31(2):434-440. 被引量:2

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