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A Note on the Essential Norm of Composition Operators from $H^p(B_N)$ to $H^q(B_N)$
Chen Zhihua 1 #,Jiang Liangying 2 *,Yan Qiming 1
1.Department of Mathematics, TongjiUniversity, ShangHai 200092
2.Departmentof Applied Mathematics, Shanghai Finance University, ShangHai 201209
*Correspondence author
#Submitted by
Subject:
Funding: National Natural Science Foundation of China (No.No. 11171255and No. 11101279), Doctoral Program Foundation of the Ministry ofEducation of China (No.No. 20090072110053)
Opened online:18 December 2012
Accepted by: none
Citation: Chen Zhihua,Jiang Liangying,Yan Qiming.A Note on the Essential Norm of Composition Operators from $H^p(B_N)$ to $H^q(B_N)$[OL]. [18 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4502727
 
 
The authors give an upper bound of the essential normsof composition operators between Hardy spaces of the unit ball interms of the counting function in the higher dimensional valuedistribution theory defined by Professor S. S. Chern. The sufficientcondition for such operators to be bounded or compact is alsogiven.
Keywords:Several complex variables; Essential norm; Compositionoperator; Hardy space
 
 
 

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