Admissibility criteria for model subspaces with fast growth of the argument of the generating inner function
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Let Θ be an inner function in the upper half-plane and let KΘ = H2 ⊖ ΘH2 be the associated model subspace of the Hardy space H2. We call a nonnegative function ω Θ-admissible if in the space KΘ there exists a nonzero function f ∈ KΘ such that |f| ≤ ω a.e. on ℝ. We give some sufficient conditions of Θ-admissibility for the case where Θ is a meromorphic function and arg Θ grows fast ((argΘ)′ tends to infinity). Bibliography: 9 titles.
KeywordsMeromorphic Function Hardy Space Nonnegative Function Blaschke Product Admissibility Condition
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