Abstract
One obtains tests for an ideal of the algebra H∞ to contain a Blaschke product satisfying the Carleson-Newman condition. If the generalized divisor of the ideal is bounded on the space of maximal ideals of H∞, then the ideal contains a function with bounded divisor.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 149, pp. 93–102, 1986.
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Tolokonnikov, V.A. Blaschke products satisfying the Carleson-Newman conditions and ideals of the algebra H∞ . J Math Sci 42, 1603–1610 (1988). https://doi.org/10.1007/BF01665046
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DOI: https://doi.org/10.1007/BF01665046