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Slice maps and multipliers of invariant subspaces
| Title: | Slice maps and multipliers of invariant subspaces |
| Authors: | Nakazi, T. Browse this author |
| Keywords: | Hardy space | | several variables | | invariant subspace | | slice map |
| Issue Date: | 1-Nov-1995 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 313 |
| Start Page: | 1 |
| End Page: | 11 |
| Abstract: | Let D2 be the closed bidisc and T2 be its distinguished boundary. For (a, /3) E D2, let <I>ar, be a slice map, that is, (<I>ar,J)(>.) = f(a>., /3>.) for >. E D and f E H2(D2). Then ker<I>ar, is an invariant subspace, and it is not difficult to describe ker<I>ar, and M(ker<I>ar,) = {<PE L00(T2) : cpker<I>ar, C H2(D2)}. In this paper, we study the set M(M) of all multipliers for an invariant subspace M such that the common zero set of M contains that of ker<I>af3 · |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69064 |
| 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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