On the Some Ideals and Their Bourgain Algebras
On the Some Ideals and Their Bourgain Algebras

Author(s): Miroslav Hristov
Subject(s): Economy, ICT Information and Communications Technologies
Published by: Икономически университет - Варна
Keywords: Bounded analytic functions; Bourgain algebras; Blaschke products; Ideals; Finitely generated ideals
Summary/Abstract: Let B be a finite Blaschke product and let I be a principal ideal in H∞ generated by B. In this paper is shown that the Bourgain algebra of I relative to L∞ coincides with Sarason algebra H∞ + C, i.e. (I, L ∞) b = H ∞ +C

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