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映入E0(p,q)的紧复合算子
引用本文:刘永民.映入E0(p,q)的紧复合算子[J].数学研究及应用,2002,22(4):538-544.
作者姓名:刘永民
作者单位:徐州师范大学数学系,江苏,徐州,221116
摘    要:应用复合算子研究E0(p,q)空间,当p=2时,它就是Qq,0,当P>0且q>1时,它就是小 Bloch空间B0.讨论了复合算子的紧性并利用Carleson测度给出复合算子是紧的判别准则.

关 键 词:E0(p  q)空间  紧性  Carleson测度  复合算子
收稿时间:1999/9/28 0:00:00

Compact Composition Operators Mapping into the E0(p,q) Spaces
LIU Yong-min.Compact Composition Operators Mapping into the E0(p,q) Spaces[J].Journal of Mathematical Research with Applications,2002,22(4):538-544.
Authors:LIU Yong-min
Institution:Dept. of Math.; Xuzhou Normal University; Jiangsu; China
Abstract:Composition operators are used to study the E0(p,q) spaces, which coincide with the space Qq,0 for p = 2 and the little Bloch space B0 for p > 0 and q > 1. The compactness of these operators is also considered. The criteria for these operators to be compact are given in terms of the Carlesou measure.
Keywords:Compact operator  function space  composition operator  Bloch space  Carleson measure  
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