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《Journal of Baoji University of Arts and Sciences(Natural Science Edition)》 2009-02
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The norm of weighted composition operators between H~∞(B_N) and weighted Bergman spaces on the unit ball

HU Xiao-jiao,YU Tao (Department of Mathematics,Zhejiang Normal University,Jinhua 321004,Zhejiang,China)  
Aim The boundedness and compactness of the weighted composition operator between H∞(BN) and weighted Bergman spaces Apα(BN) are discussed.Methods By using the method of functional analysis and complex analysis.Results The sufficient and necessary conditions,which the weighted composition operator is a bounded or compact operator,are obtained and meanwhile the norm is make. Conclusion We study the results on the unit ball,the main results in related literatures are generalized and unified.
【Fund】: Supported by the National Science Foundation of China(Grant No.10771064)
【CateGory Index】: O177.1
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