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| An Upper Bound of Essential Norm of Composition Operator on $H^2(B_n)$ |
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Citation： |
Zhihua CHEN,Liangying JIANG,Qiming YAN.An Upper Bound of Essential Norm of Composition Operator on $H^2(B_n)$[J].Chinese Annals of Mathematics B,2012,33(6):841~856 |
| Page view： 1643
Net amount： 1099 |
Authors： |
Zhihua CHEN; Liangying JIANG; Qiming YAN; |
Foundation： |
the National Natural Science Foundation of China (Nos.\,11171255,11101279, 10901120). |
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| Abstract： |
The authors give an upper bound of the essential norm of a composition operator on $H^2(B_n)$, which involves the counting function in the higher dimensional value distribution theory defined by S. S. Chern. A criterion is also given to assure that the composition operator on $H^2(B_n)$ is bounded or compact. |
Keywords： |
Essential norm, Composition operator, Hardy space |
Classification： |
47B38, 47B33, 32H02 |
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