Journal of Soviet Mathematics

, Volume 42, Issue 2, pp 1603-1610

First online:

Blaschke products satisfying the Carleson-Newman conditions and ideals of the algebra H

  • V. A. Tolokonnikov

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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.