刘永民.映入E0(p,q)的紧复合算子(英文)[J].数学研究及应用,2002,22(4):538~544
映入E0(p,q)的紧复合算子(英文)
Compact Composition Operators Mapping into the E0(p,q) Spaces
投稿时间:1999-09-28  
DOI:10.3770/j.issn:1000-341X.2002.04.006
中文关键词:  
英文关键词:Compact operator  function space  composition operator  Bloch space  Carleson measure.
基金项目:
作者单位
刘永民 徐州师范大学数学系,江苏,徐州,221116 
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中文摘要:
      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.
英文摘要:
      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.
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