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Exposed points and extremal problems in H1 on a bidisc
| Title: | Exposed points and extremal problems in H1 on a bidisc |
| Authors: | Nakazi, T. Browse this author |
| Keywords: | Hardy space | | rational function | | bidisc | | exposed point | | linear functional | | extremal problem |
| Issue Date: | Apr-2003 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 590 |
| Start Page: | 1 |
| End Page: | 11 |
| Abstract: | An essential bounded function </> gives a continuous linear functional on the Hardy space H1 on the bitorus. In this paper, we consider extremal problems on H1 when ¢ is a rational function, ¢ is a product of one variable functions or </> = If 1/.f for some outer function f in H1 such that f ( z, w) has a good property with respect to w for a.e. z. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69339 |
| 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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