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| A Note on the Essential Norm of Composition Operators from Hp(BN) to Hq(BN) |
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Citation： |
Zhihua CHEN,Liangying JIANG,Qiming YAN.A Note on the Essential Norm of Composition Operators from Hp(BN) to Hq(BN)[J].Chinese Annals of Mathematics B,2013,34(5):683~690 |
| Page view： 1676
Net amount： 1400 |
Authors： |
Zhihua CHEN; Liangying JIANG; Qiming YAN; |
Foundation： |
National Natural Science Foundation of China (Nos. 11171255, 11101279) andthe Natural Science Foundation of Shanghai (No. 13ZR1444100). |
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| Abstract： |
The authors give an upper bound of the essential norms of composition operators
between Hardy spaces of the unit ball in terms of the counting function in the higher
dimensional value distribution theory defined by Professor S. S. Chern. The sufficient
condition for such operators to be bounded or compact is also given. |
Keywords： |
Essential norm, Composition operator, Hardy space |
Classification： |
47B38, 47B33, 32H02 |
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