Analytic Functions in Smirnov Classes Ep with Real Boundary Values

Analytic Functions in Smirnov Classes Ep with Real Boundary Values

Smirnov domains with non-smooth boundaries do admit non-trivial functions of Smirnov class with real boundary values. We will show that the existance of functions in Smirnov classes with real boundary values is directly dependent on the boundary characteristics of a Smirnov domain.

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Veröffentlicht in:Complex analysis and operator theory 2013, Vol.7 (1), p.101-106
Hauptverfasser: De Castro, L., Khavinson, D.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
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Zusammenfassung:Smirnov domains with non-smooth boundaries do admit non-trivial functions of Smirnov class with real boundary values. We will show that the existance of functions in Smirnov classes with real boundary values is directly dependent on the boundary characteristics of a Smirnov domain.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-011-0174-x