TY - JOUR

T1 - Subspaces of de branges spaces with prescribed growth

AU - Baranov, A.

AU - Woracek, H.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - The growth properties of de Branges spaces and their subspaces are studied. It is shown that, for each given pair of growth functions λ(r) = O(r) and λ1 = o(λ), there exist de Branges spaces of growth λ that have a de Branges subspace of growth λ1. This phenomenon cannot occur for a class of de Branges spaces that, in a certain sense, behave regularly along the real axis.

AB - The growth properties of de Branges spaces and their subspaces are studied. It is shown that, for each given pair of growth functions λ(r) = O(r) and λ1 = o(λ), there exist de Branges spaces of growth λ that have a de Branges subspace of growth λ1. This phenomenon cannot occur for a class of de Branges spaces that, in a certain sense, behave regularly along the real axis.

KW - De Branges space

KW - De Branges subspace

KW - Growth function

UR - http://www.scopus.com/inward/record.url?scp=85009781695&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-07-00969-7

DO - 10.1090/S1061-0022-07-00969-7

M3 - Article

AN - SCOPUS:85009781695

VL - 18

SP - 699

EP - 716

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 5

ER -