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ISSN 1088-6826(e) ISSN 0002-9939(p)

Boundary spectra of uniform Frostman Blaschke products

Author(s): Alec Matheson
Journal: Proc. Amer. Math. Soc. 135 (2007), 1335-1341.
MSC (2000): Primary 30D50, 30D40
Posted: November 29, 2006
MathSciNet review: 2276642
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Abstract | References | Similar articles | Additional information

Abstract: A closed set in the unit circle $\mathbb{T}$ is the boundary spectrum of a uniform Frostman Blaschke product if and only if is nowhere dense in $\mathbb{T}$ .

References:

1.: Joseph A. Cima, Alec L. Matheson, and William T. Ross, The Cauchy transform, Mathematical Surveys and Monographs, vol. 125, American Mathematical Society, Providence, RI, 2006.
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3.: Otto Frostman, Sur les produits de Blaschke, Kungl. Fysiografiska Sällskapets i Lund Förhandlingar [Proc. Roy. Physiog. Soc. Lund] 12 (1942), no. 15, 169-182. MR 0012127 (6:262e)
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Additional Information:

Alec Matheson
Affiliation: Department of Mathematics, Lamar University, P.O. Box 10047, Beaumont, Texas 77710
Email: matheson@math.lamar.edu

DOI: 10.1090/S0002-9939-06-08470-X
PII: S 0002-9939(06)08470-X
Received by editor(s): June 30, 2005
Received by editor(s) in revised form: August 10, 2005
Posted: November 29, 2006
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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