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Invariant subspaces and Hankel type operators on a Bergman space
Title: | Invariant subspaces and Hankel type operators on a Bergman space |
Authors: | Nakazi, Takahiko Browse this author | Osawa, Tomoko Browse this author |
Keywords: | Bergman space | invariant subspace | Hankel type operator |
Issue Date: | 2005 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 686 |
Start Page: | 1 |
End Page: | 9 |
Abstract: | Let L2 = L2(D, rdrdq/p) be the Lebesgue space on the open unit disc D and let L2 a = L2 \Hol(D) be a Bergman space on D. In this paper, we are interested in a closed subspace M of L2 which is invariant under the multiplication by the coordinate function z, and a Hankel type operator from L2 a toM?. In particular, we study an invariant subspace M such that there does not exist a finite rank Hankel type operator except a zero operator. 2 |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69491 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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