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Factorizations of outer functions and extremal problems

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83434

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
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

Submitter: 数学紀要登録作業用

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