An extremal property of outer functions |
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Authors: | B I Korenblyum |
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Institution: | (1) Klev Structural-Engineering Institute, USSR |
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Abstract: | Our main result is the following: iff (z) is in the space H2, and F(z) is its outer part, then F(n)H2F(n)H2(n=1,2,...), the left side being finite if the right side is finite. Under certain essential restrictions, this. inequality was proved by B. I. Korenblyum and V. S. Korolevich 1].Translated from Matematicheskie Zametki, Vol. 10, No. 1, pp. 53–56, July, 1971. |
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