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Composition Operators on the Weighted Bergman Space in the Unit Polydisk 被引量：1

Composition Operators on the Weighted Bergman Space in the Unit Polydisk
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摘要 We consider the boundedness of composition operators on the Bergman space,and shows that when it is induced by automorphism is always bounded.At first we got a change of variables formula,which is very important for the proof of the boundedness of composition operators,and then obtain an upper bound for the special operator norm on Bergman space. We consider the boundedness of composition operators on the Bergman space, and shows that when it is induced by automorphism is always bounded. At first we got a change of variables formula, which is very important for the proof of the boundedness of composition operators, and then obtain an upper bound for the special operator norm on Bergman space.
作者 HU Rong HU Peng-yan
机构地区 College of Mathematics and Finance-Economics College o] Mathematics and Computational Science
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第1期9-13,共5页 数学季刊（英文版）
基金 Supported by the Scientific Research Fund of Sichuan Provincial Education Department(13ZB0101)
关键词 bergman space POLYDISK composition operators AUTOMORPHISM bergman space polydisk composition operators automorphism
分类号 O174.56 [理学—基础数学]
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共引文献21

同被引文献7

  • 1Der-chen chang, Robert Gilbert., Stevo Stevi6. Hausdorff operator on the unit polydisk inCn [J]. Complex Variables and Elliptic Equations, 2006, 51(4): 329-345.
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  • 6胡蓉,谢莉,胡鹏彦.C^n中单位多圆柱上的Bloch空间上的Hausdorff型算子[J].数学物理学报（A辑）,2012,32(3):521-529. 被引量：2
  • 7胡蓉.多圆柱上的加权Bergman空间及其函数模的上界估计[J].西华师范大学学报（自然科学版）,2012,33(4):374-377. 被引量：1

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Chinese Quarterly Journal of Mathematics
2014年 第1期

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