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多圆盘Hardy空间的不变子空间

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Indexed by:期刊论文

Date of Publication:2012-01-01

Journal:数学进展

Included Journals:PKU、ISTIC、CSCD

Volume:41

Issue:3

Page Number:313-319

ISSN No.:1000-0917

Key Words:不变子空间; Hardy空间; 多圆盘

Abstract:设M是多圆盘Hardy空间H~2(T~n)的不变子空间.R_z_i是以坐标函数z_i(i=1,2,,n)为符号的乘法算子在M上的限制.本文作者证
   明了,存在一个内函数q,使得M=qH~2(T~n)当且仅当对ij,R_z_iR_z_j~*=R_z_j~*R_z_i.

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