Thin sequences in the corona of H ∞

• Autorzy: Dimcho Stankov , Tzonio Tzonev
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider several conditions for sequences of points in M(H ∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona $$M(H^\infty )\backslash \mathbb{D}$$ of H ∞ is a thin sequence for H ∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H ∞ necessarily satisfy the same condition.

Słowa kluczowe

EN

Bounded analytic functions; Interpolating sequences; Thin sequences; Corona

Kategorie tematyczne

• 30H05: Bounded analytic functions
• 30H50: Algebras of analytic functions
• 46J15: Banach algebras of differentiable or analytic functions, H p -spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 10
• Strony: 1843-1849

Daty

wydano

2013-10-01

online

2013-07-20

Twórcy

autor

Dimcho Stankov

• Faculty of Mathematics and Informatics, Shumen University Konstantin Preslavsky, 115 Universitetska Str., 9712, Shumen, Bulgaria

autor

Tzonio Tzonev

• Faculty of Mathematics and Informatics, Shumen University Konstantin Preslavsky, 115 Universitetska Str., 9712, Shumen, Bulgaria

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0281-1