2023-03-24T16:16:54Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690382022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Factorizations of outer functions and extremal problemsNakazi, T.open accessinner functionouter functionexposed pointHardy spaceextremal problem410The 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 < ∞.Department of Mathematics, Hokkaido University1995-03-01engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83434http://hdl.handle.net/2115/6903810.14943/83434Hokkaido University Preprint Series in Mathematics287115https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69038/1/pre287.pdfapplication/pdf582.28 KB1995-03-01