Thin sequences in the corona of H ∞

Dimcho Stankov; Tzonio Tzonev

Open Mathematics (2013)

  • Volume: 11, Issue: 10, page 1843-1849
  • ISSN: 2391-5455

Abstract

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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 ∞ ) ∖ 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.

How to cite

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Dimcho Stankov, and Tzonio Tzonev. "Thin sequences in the corona of H ∞." Open Mathematics 11.10 (2013): 1843-1849. <http://eudml.org/doc/269194>.

@article{DimchoStankov2013,
abstract = {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.},
author = {Dimcho Stankov, Tzonio Tzonev},
journal = {Open Mathematics},
keywords = {Bounded analytic functions; Interpolating sequences; Thin sequences; Corona; bounded analytic functions; interpolating sequences; thin sequences},
language = {eng},
number = {10},
pages = {1843-1849},
title = {Thin sequences in the corona of H ∞},
url = {http://eudml.org/doc/269194},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Dimcho Stankov
AU - Tzonio Tzonev
TI - Thin sequences in the corona of H ∞
JO - Open Mathematics
PY - 2013
VL - 11
IS - 10
SP - 1843
EP - 1849
AB - 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.
LA - eng
KW - Bounded analytic functions; Interpolating sequences; Thin sequences; Corona; bounded analytic functions; interpolating sequences; thin sequences
UR - http://eudml.org/doc/269194
ER -

References

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