2024-03-28T09:56:40Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690642022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Slice maps and multipliers of invariant subspacesNakazi, T.open accessHardy spaceseveral variablesinvariant subspaceslice map410Let 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 ยทDepartment of Mathematics, Hokkaido University1995-11-01engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83460http://hdl.handle.net/2115/6906410.14943/83460Hokkaido University Preprint Series in Mathematics313111https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69064/1/pre313.pdfapplication/pdf542.83 KB1995-11-01