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Hokkaido University Preprint Series in Mathematics >
Factorizations of outer functions and extremal problems
| Title: | Factorizations of outer functions and extremal problems |
| Authors: | Nakazi, T. Browse this author |
| Keywords: | inner function | | outer function | | exposed point | | Hardy space | | extremal problem |
| Issue Date: | 1-Mar-1995 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 287 |
| Start Page: | 1 |
| End Page: | 15 |
| Abstract: | The author has proved that an outer function in the Hardy space can be factored into a product in which one factor is strongly outer and the other is the sum of two inner functions. In an endeavor to understand better the latter factor, we introduce a class of functions containing sums of inner functions as a special case . Using it, we describe the solutions of extremal problems in the Hardy spaces HP for 1 ::; p < ∞. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69038 |
| 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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