Compact Composition Operators Mapping into the E0(p,q) Spaces
Received:September 28, 1999  
Key Words: Compact operator   function space   composition operator   Bloch space   Carleson measure.  
Fund Project:
Author NameAffiliation
LIU Yong-min Dept. of Math.
Xuzhou Normal University
Jiangsu
China 
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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.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.04.006
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