TY - JOUR
T1 - Interpolation in Hp spaces over the right half-plane
AU - Zikkos, Elias
N1 - Publisher Copyright:
© 2017, Akadémiai Kiadó, Budapest, Hungary.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - For a certain class of sequences with multiple terms {λ1,λ1,…,λ1⏟μ1-times,λ2,λ2,…,λ2⏟μ2-times,…} in the right half-plane C+, and a doubly-indexed sequence {dn,k:n∈N,k=0,1,…,μn-1} of complex numbers satisfying certain growth conditions, we consider an interpolation problem f(k)(λn)=dn,kn∈N,k=0,1,…,μn-1,where f is a bounded analytic function in C+, belonging to the Hardy spaces H1(C+) and H2(C+).
AB - For a certain class of sequences with multiple terms {λ1,λ1,…,λ1⏟μ1-times,λ2,λ2,…,λ2⏟μ2-times,…} in the right half-plane C+, and a doubly-indexed sequence {dn,k:n∈N,k=0,1,…,μn-1} of complex numbers satisfying certain growth conditions, we consider an interpolation problem f(k)(λn)=dn,kn∈N,k=0,1,…,μn-1,where f is a bounded analytic function in C+, belonging to the Hardy spaces H1(C+) and H2(C+).
KW - Hardy spaces in a half-plane
KW - Interpolating sequences
UR - http://www.scopus.com/inward/record.url?scp=85026556465&partnerID=8YFLogxK
U2 - 10.1007/s10998-017-0206-z
DO - 10.1007/s10998-017-0206-z
M3 - Article
AN - SCOPUS:85026556465
SN - 0031-5303
VL - 75
SP - 368
EP - 375
JO - Periodica Mathematica Hungarica
JF - Periodica Mathematica Hungarica
IS - 2
ER -