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A Beurling-type theorem. (English) Zbl 0354.30024

##### MSC:
 30D55 $$H^p$$-classes (MSC2000) 30H05 Spaces of bounded analytic functions of one complex variable
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##### References:
 [1] Beurling, A., On two problems concerning linear transformations in Hilbert space.Acta Math., 81 (1949), 239–255. · Zbl 0033.37701 [2] –, Ensembles exeptionnels.Acta Math., 72 (1940), 1–13. · Zbl 0023.14204 [3] Carleson, L., Sets of Uniqueness for functions regular in the unit circle.Acta Math., 87 (1952), 325–345. · Zbl 0046.30005 [4] Edwards, R. E.,Functional Analysis. Theory and Applications. Holt, Rinehart and Winston, 1965. · Zbl 0182.16101 [5] Hayman, W. K. & Korenblum, B., An extension of the Riesz-Herglotz formula. To appear. · Zbl 0416.30019 [6] Korenblum, B., An extension of the Nevanlinna theory.Acta Math., 135 (1975), 187–219. · Zbl 0323.30030 [7] Korolevič, V. S., On a theorem of Beurling and Carleson.Ukrainian Math. J., 22 (1970), 823–828. [8] Taylor, B. A. &Williams, D. L., Ideals in rings of analytic functions with smooth boundary values.Canad. J. Math., 22 (1970), 1266–1283. · Zbl 0204.44302
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