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论文类型：期刊论文

发表时间：2017-01-01

发表刊物：NEW YORK JOURNAL OF MATHEMATICS

收录刊物：SCIE、Scopus

卷号：23

页面范围：505-526

ISSN号：1076-9803

关键字：Hardy space over the bidisk; submodule; core operator; fringe operator; Toeplitz matrix

摘要：The Hardy space H-2(D-2) can be viewed as a module over the polynomial ring C[z, w] with module action defined by multiplication of functions. The core operator is a bounded self-adjoint integral operator defined on submodules of H-2(D-2), and it gives rise to some interesting numerical invariants for the submodules. These invariants are difficult to compute or estimate in general. This paper computes these invariants for homogeneous submodules through Toeplitz determinants.