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Cn中单位球上的Dirichlet空间和Qp,0空间
引用本文:胡鹏彦,张文俊. Cn中单位球上的Dirichlet空间和Qp,0空间[J]. 数学季刊, 2003, 18(2)
作者姓名:胡鹏彦  张文俊
作者单位:Department of Mathematics,Normal College of Shenzhen University,Shenzhen 518060,China
基金项目:Supported by the National Natural Science Foundation of China(10101013)
摘    要:In this paper, we first give some new characterizations of Qp,0 spaces by means of vanishing p-Carleson measure. Using these results, we can prove that Dirichlet space is a subset of Qp,0 for(n-1)/n

Dirichlet and Qp,0 Spaces on the Unit Ball of Cn
HU Peng-yan,ZHANG Wen-jun. Dirichlet and Qp,0 Spaces on the Unit Ball of Cn[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2)
Authors:HU Peng-yan  ZHANG Wen-jun
Abstract:In this paper, we first give some new characterizations of Qp,0 spaces by means of vanishing p-Carleson measure. Using these results, we can prove that Dirichlet space is a subset of Qp,0 for (n-1)/(n)<p≤1.
Keywords:dirichlet space  QP  0 space  p-Carleson measure  vanishing p-Carleson measure
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