Invariant Subspaces of Sobolev Disk Algebra
Received:August 24, 2004  
Key Words: Invariant subspace   Sobolev disk algebra   multiplication operator.  
Fund Project:the National Natural Science Foundation of China (10471041)
Author NameAffiliation
LIU Yi-qiang Dept. of Math., East China University of Science and Technology, Shanghai 200237, China 
WANG Zong-yao Dept. of Math., East China University of Science and Technology, Shanghai 200237, China 
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Abstract:
      In this paper, we study the invariant subspaces of the operator $M_z$ on the Sobolev disk algebra $R(\bf {D})$ and characterize the invariant subspace with finite codimension.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.02.007
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