| Note on the Essential Norm of Composition Operators from HP（BN） to Hq（BN） |
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| 引用本文： | Zhihua CHEN,Liangying JIANG,Qiming YAN. Note on the Essential Norm of Composition Operators from HP（BN） to Hq（BN）[J]. 数学年刊B辑(英文版), 2013, 34(5): 683-690. DOI: 10.1007/s11401-013-0795-7 |
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| 作者姓名： | Zhihua CHEN Liangying JIANG Qiming YAN |
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| 作者单位： | [1]Department of Mathematics, Tongji University, Shanghai 200092, China. [2]Department of Applied Mathematics, Shanghai Finance University, Shanghai 201209, China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Nos. 11171255, 11101279） and the Natural Science Foundation of Shanghai （No. 13ZR1444100）. |
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| 摘 要： | 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 sufcient condition for such operators to be bounded or compact is also given.
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| 关 键 词： | Essential norm Composition operator Hardy space |
A Note on the Essential Norm of Composition Operators from Hp(BN) to Hq(BN) |
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| Zhihua CHEN,Liangying JIANG and Qiming YAN. A Note on the Essential Norm of Composition Operators from Hp(BN) to Hq(BN)[J]. Chinese Annals of Mathematics,Series B, 2013, 34(5): 683-690. DOI: 10.1007/s11401-013-0795-7 |
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| Authors: | Zhihua CHEN Liangying JIANG Qiming YAN |
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| Affiliation: | 1. Department of Mathematics, Tongji University, Shanghai 200092, China
2. Department of Applied Mathematics, Shanghai Finance University, Shanghai 201209, China |
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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. |
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| Keywords: | Essential norm Composition operator Hardy space |
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