Model functions with nearly prescribed modulus

Autor: Yu. S. Belov
Rok vydání: 2009
Předmět:
Zdroj: St. Petersburg Mathematical Journal. 20:163-174
ISSN: 1061-0022
Popis: Let Θ be an inner function on the upper half-plane, and let KΘ = H 2 � ΘH 2 be the corresponding model subspace. A nonnegative measurable function ω is said to be strongly admissible for KΘ if there exists a nonzero function f ∈ KΘ with |f |� ω. Certain conditions sufficient for strong admissibility are given in the case where Θ is meromorphic.
Databáze: OpenAIRE