Admissibility of majorants in certain model subspaces: Necessary conditions
نویسندگان
چکیده
منابع مشابه
Subspaces of de Branges spaces generated by majorants
For a given deBranges space H(E) we investigate deBranges subspaces defined in terms of majorants on the real axis: If ω is a nonnegative function on R, we consider the subspace Rω(E) = ClosH(E) { F ∈ H(E) : ∃C > 0 : |EF | ≤ Cω on R } . We show that Rω(E) is a deBranges subspace and describe all subspaces of this form. Moreover, we give a criterion for the existence of positive minimal majorant...
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ژورنال
عنوان ژورنال: St. Petersburg Mathematical Journal
سال: 2009
ISSN: 1061-0022
DOI: 10.1090/s1061-0022-09-01059-0