Вложения Модельных Подпространств Класса Харди: Компактность И Идеалы Шаттена - Фон Неймана

Baranov, Anton

doi:10.4213/im2758

Izv. RAN. Ser. Mat.

2009

DOI: 10.4213/im2758

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Вложения Модельных Подпространств Класса Харди: Компактность И Идеалы Шаттена - Фон Неймана

Anton Baranov¹

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2010

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The Feichtinger Conjecture for Reproducing Kernels in Model Subspaces

Baranov

Dyakonov

2010

J Geom Anal

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We obtain two results concerning the Feichtinger conjecture for systems of normalized reproducing kernels in the model subspace K = H 2 H 2 of the Hardy space H 2 , where is an inner function. First, we verify the Feichtinger conjecture for the kernelsk λ n = k λ n / k λ n under the assumption that sup n | (λ n )| < 1. Second, we prove the Feichtinger conjecture in the case where is a one-component inner function, meaning that the set {z : | (z)| < ε} is connected for some ε ∈ (0, 1).

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The Feichtinger Conjecture for Reproducing Kernels in Model Subspaces

Baranov

Dyakonov

2010

J Geom Anal

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Вложения Модельных Подпространств Класса Харди: Компактность И Идеалы Шаттена - Фон Неймана

Cited by 1 publication

References 25 publications

The Feichtinger Conjecture for Reproducing Kernels in Model Subspaces

The Feichtinger Conjecture for Reproducing Kernels in Model Subspaces

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