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Indexed by:期刊论文

Date of Publication:2022-06-29

Journal:数学进展

Affiliation of Author(s):数学科学学院

Volume:41

Issue:3

Page Number:313-319

ISSN No.:1000-0917

Abstract: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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