Bourgain algebras on the unit disk

Joseph A. Cima; Karel Stroethoff; Keith Yale

doi:10.2140/pjm.1993.160.27

Bourgain algebras on the unit disk

Joseph A. Cima, Karel Stroethoff, Keith Yale

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The Bourgain algebra of H^∞(D) relative to L^∞(D) is shown to be H^∞(D) + C(D) + V, where V is an ideal of functions in L^∞(D)) which vanish in an appropriate sense near the boundary of (D).

Original language	English
Pages (from-to)	27-41
Number of pages	15
Journal	Pacific Journal of Mathematics
Volume	160
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1993.160.27
State	Published - Sep 1993

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10.2140/pjm.1993.160.27

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title = "Bourgain algebras on the unit disk",

abstract = "The Bourgain algebra of H∞(D) relative to L∞(D) is shown to be H∞(D) + C(D) + V, where V is an ideal of functions in L∞(D)) which vanish in an appropriate sense near the boundary of (D).",

author = "Cima, \{Joseph A.\} and Karel Stroethoff and Keith Yale",

year = "1993",

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AB - The Bourgain algebra of H∞(D) relative to L∞(D) is shown to be H∞(D) + C(D) + V, where V is an ideal of functions in L∞(D)) which vanish in an appropriate sense near the boundary of (D).

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M3 - Article

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EP - 41

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

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Bourgain algebras on the unit disk

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