TY - JOUR

T1 - Model functions with nearly prescribed modulus

AU - Belov, Yu S.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - Let Θ be an inner function on the upper half-plane, and let KΘ = H2⊖ΘH2 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.

AB - Let Θ be an inner function on the upper half-plane, and let KΘ = H2⊖ΘH2 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.

KW - Admissible function

KW - Beurling–Malliavin theorem

KW - Logarithmic integral

KW - Model subspace

UR - http://www.scopus.com/inward/record.url?scp=85009761169&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-09-01042-5

DO - 10.1090/S1061-0022-09-01042-5

M3 - Article

AN - SCOPUS:85009761169

VL - 20

SP - 163

EP - 174

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -