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论文类型：期刊论文

发表时间：2022-06-29

发表刊物：数学进展

所属单位：数学科学学院

卷号：41

期号：3

页面范围：313-319

ISSN号：1000-0917

摘要：Let M be an invariant subspace of Hardy space H~2(T~n) on the polydisk
   T~n.R_z_i denotes the multiplication operator restricted to M by
   coordinate function Z_i(i = 1,2,,n). In this paper we prove that M is of
   the form qH~2(T~n) for some inner function q if and only if
   R_Z_iR_z_j~*= R_z_j~*R_Z_i holds on M for ij.

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