Abstract
The author has proved that an outer function in the Hardy space H1 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<∞.
Publisher
Cambridge University Press (CUP)
Reference15 articles.
1. The spectra of some Toeplitz operators
2. Extreme points and extremum problems in H1;Rudin;Pacific J. Math.,1958
3. Sum of two inner functions and exposed points in H1
4. 15. Sarason D. , Making an outer function from two inner functions, preprint.
5. The solution sets of extremal problems in. H1;Hayashi;Proc. Amer. Math. Soc.,1985
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3 articles.
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