Remarks on Spaces H, βp, and β0p on Complex Plane
Received:February 19, 2002  
Key Word: boundedness   weighted composition operator   pointwise multiplier   compact operator.  
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Author NameAffiliation
ZHANG Xue-jun College of Math. Comp. Sci.
Hunan Normal University
Changsha
China 
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Abstract:
      In this paper, we discuss the boundedness of the composition operator T1,φ and weighted composition operator Tψ,φ from Hardy space H to p-Bloch space βp on the unit disc, and obtain the sufficient and necessary condition. We study the pointwise multipliers from space β0p to H on the unit disc and the compactness of T1,φ from space β0p to β0q. We consider the boundedness of the composition operator T1,φ from H to little p-Bloch space, and obtain the sufficient and necessary condition.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.04.017
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